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Finding the Fourth Proportional to 3,130.86, 4,696.31 and 2,545.16

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Solution

The fourth proportional to 3,130.86, 4,696.31 and 2,545.16 is: 3,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.86 : 4,696.31 = 2,545.16 : x
  2. Step 2: Convert to fraction form
    3,130.86/4,696.31 = 2,545.16/x
  3. Step 3: Cross multiply
    3,130.86x = 4,696.31 × 2,545.16
  4. Step 4: Simplify right side
    3,130.86x = 11,952,824.15
  5. Step 5: Solve for x
    x = 11,952,824.15/3,130.86
  6. Step 6: Final answer
    x = 3,817.74

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