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Finding the Fourth Proportional to 4,972.64, 7,458.96 and 2,374.97

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Solution

The fourth proportional to 4,972.64, 7,458.96 and 2,374.97 is: 3,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.64 : 7,458.96 = 2,374.97 : x
  2. Step 2: Convert to fraction form
    4,972.64/7,458.96 = 2,374.97/x
  3. Step 3: Cross multiply
    4,972.64x = 7,458.96 × 2,374.97
  4. Step 4: Simplify right side
    4,972.64x = 17,714,768.94
  5. Step 5: Solve for x
    x = 17,714,768.94/4,972.64
  6. Step 6: Final answer
    x = 3,562.45

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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.