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Finding the Fourth Proportional to 4,732.02, 7,061.58 and 4,156.11

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Solution

The fourth proportional to 4,732.02, 7,061.58 and 4,156.11 is: 6,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.02 : 7,061.58 = 4,156.11 : x
  2. Step 2: Convert to fraction form
    4,732.02/7,061.58 = 4,156.11/x
  3. Step 3: Cross multiply
    4,732.02x = 7,061.58 × 4,156.11
  4. Step 4: Simplify right side
    4,732.02x = 29,348,700.13
  5. Step 5: Solve for x
    x = 29,348,700.13/4,732.02
  6. Step 6: Final answer
    x = 6,202.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.