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Finding the Fourth Proportional to 4,607.62, 6,895.20 and 3,966.10

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Solution

The fourth proportional to 4,607.62, 6,895.20 and 3,966.10 is: 5,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.62 : 6,895.20 = 3,966.10 : x
  2. Step 2: Convert to fraction form
    4,607.62/6,895.20 = 3,966.10/x
  3. Step 3: Cross multiply
    4,607.62x = 6,895.20 × 3,966.10
  4. Step 4: Simplify right side
    4,607.62x = 27,347,052.72
  5. Step 5: Solve for x
    x = 27,347,052.72/4,607.62
  6. Step 6: Final answer
    x = 5,935.18

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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.