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Finding the Fourth Proportional to 5,114.65, 7,657.29 and 3,153.64

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Solution

The fourth proportional to 5,114.65, 7,657.29 and 3,153.64 is: 4,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.65 : 7,657.29 = 3,153.64 : x
  2. Step 2: Convert to fraction form
    5,114.65/7,657.29 = 3,153.64/x
  3. Step 3: Cross multiply
    5,114.65x = 7,657.29 × 3,153.64
  4. Step 4: Simplify right side
    5,114.65x = 24,148,336.04
  5. Step 5: Solve for x
    x = 24,148,336.04/5,114.65
  6. Step 6: Final answer
    x = 4,721.41

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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.