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Finding the Fourth Proportional to 5,007.43, 7,510.56 and 1,310.01

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Solution

The fourth proportional to 5,007.43, 7,510.56 and 1,310.01 is: 1,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.43 : 7,510.56 = 1,310.01 : x
  2. Step 2: Convert to fraction form
    5,007.43/7,510.56 = 1,310.01/x
  3. Step 3: Cross multiply
    5,007.43x = 7,510.56 × 1,310.01
  4. Step 4: Simplify right side
    5,007.43x = 9,838,928.93
  5. Step 5: Solve for x
    x = 9,838,928.93/5,007.43
  6. Step 6: Final answer
    x = 1,964.87

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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.