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Finding the Fourth Proportional to 3,340.29, 5,011.13 and 1,000.47

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Solution

The fourth proportional to 3,340.29, 5,011.13 and 1,000.47 is: 1,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.29 : 5,011.13 = 1,000.47 : x
  2. Step 2: Convert to fraction form
    3,340.29/5,011.13 = 1,000.47/x
  3. Step 3: Cross multiply
    3,340.29x = 5,011.13 × 1,000.47
  4. Step 4: Simplify right side
    3,340.29x = 5,013,485.23
  5. Step 5: Solve for x
    x = 5,013,485.23/3,340.29
  6. Step 6: Final answer
    x = 1,500.91

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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.