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Finding the Fourth Proportional to 4,292.60, 6,428.10 and 4,098.20

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Solution

The fourth proportional to 4,292.60, 6,428.10 and 4,098.20 is: 6,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.60 : 6,428.10 = 4,098.20 : x
  2. Step 2: Convert to fraction form
    4,292.60/6,428.10 = 4,098.20/x
  3. Step 3: Cross multiply
    4,292.60x = 6,428.10 × 4,098.20
  4. Step 4: Simplify right side
    4,292.60x = 26,343,639.42
  5. Step 5: Solve for x
    x = 26,343,639.42/4,292.60
  6. Step 6: Final answer
    x = 6,136.99

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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.