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Finding the Fourth Proportional to 3,825,294.95, 5,736,591.74 and 1,128,898.91

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Solution

The fourth proportional to 3,825,294.95, 5,736,591.74 and 1,128,898.91 is: 1,692,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825,294.95 : 5,736,591.74 = 1,128,898.91 : x
  2. Step 2: Convert to fraction form
    3,825,294.95/5,736,591.74 = 1,128,898.91/x
  3. Step 3: Cross multiply
    3,825,294.95x = 5,736,591.74 × 1,128,898.91
  4. Step 4: Simplify right side
    3,825,294.95x = 6,476,032,128,073.55
  5. Step 5: Solve for x
    x = 6,476,032,128,073.55/3,825,294.95
  6. Step 6: Final answer
    x = 1,692,949.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.