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Finding the Fourth Proportional to 5,726.92, 7,898.77 and 4,931.62

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Solution

The fourth proportional to 5,726.92, 7,898.77 and 4,931.62 is: 6,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.92 : 7,898.77 = 4,931.62 : x
  2. Step 2: Convert to fraction form
    5,726.92/7,898.77 = 4,931.62/x
  3. Step 3: Cross multiply
    5,726.92x = 7,898.77 × 4,931.62
  4. Step 4: Simplify right side
    5,726.92x = 38,953,732.11
  5. Step 5: Solve for x
    x = 38,953,732.11/5,726.92
  6. Step 6: Final answer
    x = 6,801.86

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