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Finding the Fourth Proportional to 5,007.24, 7,511.30 and 1,309.45

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Solution

The fourth proportional to 5,007.24, 7,511.30 and 1,309.45 is: 1,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.24 : 7,511.30 = 1,309.45 : x
  2. Step 2: Convert to fraction form
    5,007.24/7,511.30 = 1,309.45/x
  3. Step 3: Cross multiply
    5,007.24x = 7,511.30 × 1,309.45
  4. Step 4: Simplify right side
    5,007.24x = 9,835,671.79
  5. Step 5: Solve for x
    x = 9,835,671.79/5,007.24
  6. Step 6: Final answer
    x = 1,964.29

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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.