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Finding the Fourth Proportional to 4,839.64, 7,260.08 and 2,374.52

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Solution

The fourth proportional to 4,839.64, 7,260.08 and 2,374.52 is: 3,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.64 : 7,260.08 = 2,374.52 : x
  2. Step 2: Convert to fraction form
    4,839.64/7,260.08 = 2,374.52/x
  3. Step 3: Cross multiply
    4,839.64x = 7,260.08 × 2,374.52
  4. Step 4: Simplify right side
    4,839.64x = 17,239,205.16
  5. Step 5: Solve for x
    x = 17,239,205.16/4,839.64
  6. Step 6: Final answer
    x = 3,562.08

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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.