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Finding the Fourth Proportional to 5,143.02, 7,715.64 and 1,680

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Solution

The fourth proportional to 5,143.02, 7,715.64 and 1,680 is: 2,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.02 : 7,715.64 = 1,680 : x
  2. Step 2: Convert to fraction form
    5,143.02/7,715.64 = 1,680/x
  3. Step 3: Cross multiply
    5,143.02x = 7,715.64 × 1,680
  4. Step 4: Simplify right side
    5,143.02x = 12,962,275.20
  5. Step 5: Solve for x
    x = 12,962,275.20/5,143.02
  6. Step 6: Final answer
    x = 2,520.36

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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.