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Finding the Fourth Proportional to 5,929.62, 8,897.95 and 2,642.90

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Solution

The fourth proportional to 5,929.62, 8,897.95 and 2,642.90 is: 3,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.62 : 8,897.95 = 2,642.90 : x
  2. Step 2: Convert to fraction form
    5,929.62/8,897.95 = 2,642.90/x
  3. Step 3: Cross multiply
    5,929.62x = 8,897.95 × 2,642.90
  4. Step 4: Simplify right side
    5,929.62x = 23,516,392.06
  5. Step 5: Solve for x
    x = 23,516,392.06/5,929.62
  6. Step 6: Final answer
    x = 3,965.92

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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.