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Finding the Fourth Proportional to 4,635.81, 6,398.26 and 2,957.74

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Solution

The fourth proportional to 4,635.81, 6,398.26 and 2,957.74 is: 4,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.81 : 6,398.26 = 2,957.74 : x
  2. Step 2: Convert to fraction form
    4,635.81/6,398.26 = 2,957.74/x
  3. Step 3: Cross multiply
    4,635.81x = 6,398.26 × 2,957.74
  4. Step 4: Simplify right side
    4,635.81x = 18,924,366.14
  5. Step 5: Solve for x
    x = 18,924,366.14/4,635.81
  6. Step 6: Final answer
    x = 4,082.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.