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Finding the Fourth Proportional to 5,006.46, 7,509.78 and 2,538.30

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Solution

The fourth proportional to 5,006.46, 7,509.78 and 2,538.30 is: 3,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.46 : 7,509.78 = 2,538.30 : x
  2. Step 2: Convert to fraction form
    5,006.46/7,509.78 = 2,538.30/x
  3. Step 3: Cross multiply
    5,006.46x = 7,509.78 × 2,538.30
  4. Step 4: Simplify right side
    5,006.46x = 19,062,074.57
  5. Step 5: Solve for x
    x = 19,062,074.57/5,006.46
  6. Step 6: Final answer
    x = 3,807.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.