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Finding the Fourth Proportional to 5,417.82, 7,476.50 and 3,027.85

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Solution

The fourth proportional to 5,417.82, 7,476.50 and 3,027.85 is: 4,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.82 : 7,476.50 = 3,027.85 : x
  2. Step 2: Convert to fraction form
    5,417.82/7,476.50 = 3,027.85/x
  3. Step 3: Cross multiply
    5,417.82x = 7,476.50 × 3,027.85
  4. Step 4: Simplify right side
    5,417.82x = 22,637,709.40
  5. Step 5: Solve for x
    x = 22,637,709.40/5,417.82
  6. Step 6: Final answer
    x = 4,178.38

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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.