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Finding the Fourth Proportional to 3,143.67, 4,711.51 and 3,061.90

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Solution

The fourth proportional to 3,143.67, 4,711.51 and 3,061.90 is: 4,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.67 : 4,711.51 = 3,061.90 : x
  2. Step 2: Convert to fraction form
    3,143.67/4,711.51 = 3,061.90/x
  3. Step 3: Cross multiply
    3,143.67x = 4,711.51 × 3,061.90
  4. Step 4: Simplify right side
    3,143.67x = 14,426,172.47
  5. Step 5: Solve for x
    x = 14,426,172.47/3,143.67
  6. Step 6: Final answer
    x = 4,588.96

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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.