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Finding the Fourth Proportional to 5,584,774.82, 7,706,535.09 and 3,137,252.90

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Solution

The fourth proportional to 5,584,774.82, 7,706,535.09 and 3,137,252.90 is: 4,329,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584,774.82 : 7,706,535.09 = 3,137,252.90 : x
  2. Step 2: Convert to fraction form
    5,584,774.82/7,706,535.09 = 3,137,252.90/x
  3. Step 3: Cross multiply
    5,584,774.82x = 7,706,535.09 × 3,137,252.90
  4. Step 4: Simplify right side
    5,584,774.82x = 24,177,349,560,054.26
  5. Step 5: Solve for x
    x = 24,177,349,560,054.26/5,584,774.82
  6. Step 6: Final answer
    x = 4,329,153.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.