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Finding the Fourth Proportional to 3,113.74, 4,641.91 and 2,957.92

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Solution

The fourth proportional to 3,113.74, 4,641.91 and 2,957.92 is: 4,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.74 : 4,641.91 = 2,957.92 : x
  2. Step 2: Convert to fraction form
    3,113.74/4,641.91 = 2,957.92/x
  3. Step 3: Cross multiply
    3,113.74x = 4,641.91 × 2,957.92
  4. Step 4: Simplify right side
    3,113.74x = 13,730,379.43
  5. Step 5: Solve for x
    x = 13,730,379.43/3,113.74
  6. Step 6: Final answer
    x = 4,409.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.