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Finding the Fourth Proportional to 5,007.20, 7,510.16 and 1,309.68

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Solution

The fourth proportional to 5,007.20, 7,510.16 and 1,309.68 is: 1,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.20 : 7,510.16 = 1,309.68 : x
  2. Step 2: Convert to fraction form
    5,007.20/7,510.16 = 1,309.68/x
  3. Step 3: Cross multiply
    5,007.20x = 7,510.16 × 1,309.68
  4. Step 4: Simplify right side
    5,007.20x = 9,835,906.35
  5. Step 5: Solve for x
    x = 9,835,906.35/5,007.20
  6. Step 6: Final answer
    x = 1,964.35

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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.