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Finding the Fourth Proportional to 4,972.32, 7,455.68 and 1,509.12

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Solution

The fourth proportional to 4,972.32, 7,455.68 and 1,509.12 is: 2,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.32 : 7,455.68 = 1,509.12 : x
  2. Step 2: Convert to fraction form
    4,972.32/7,455.68 = 1,509.12/x
  3. Step 3: Cross multiply
    4,972.32x = 7,455.68 × 1,509.12
  4. Step 4: Simplify right side
    4,972.32x = 11,251,515.80
  5. Step 5: Solve for x
    x = 11,251,515.80/4,972.32
  6. Step 6: Final answer
    x = 2,262.83

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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.