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Finding the Fourth Proportional to 6,457.53, 9,686.39 and 3,680.90

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Solution

The fourth proportional to 6,457.53, 9,686.39 and 3,680.90 is: 5,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.53 : 9,686.39 = 3,680.90 : x
  2. Step 2: Convert to fraction form
    6,457.53/9,686.39 = 3,680.90/x
  3. Step 3: Cross multiply
    6,457.53x = 9,686.39 × 3,680.90
  4. Step 4: Simplify right side
    6,457.53x = 35,654,566.11
  5. Step 5: Solve for x
    x = 35,654,566.11/6,457.53
  6. Step 6: Final answer
    x = 5,521.39

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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.