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Finding the Fourth Proportional to 5,232.75, 7,848.90 and 1,337.04

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Solution

The fourth proportional to 5,232.75, 7,848.90 and 1,337.04 is: 2,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.75 : 7,848.90 = 1,337.04 : x
  2. Step 2: Convert to fraction form
    5,232.75/7,848.90 = 1,337.04/x
  3. Step 3: Cross multiply
    5,232.75x = 7,848.90 × 1,337.04
  4. Step 4: Simplify right side
    5,232.75x = 10,494,293.26
  5. Step 5: Solve for x
    x = 10,494,293.26/5,232.75
  6. Step 6: Final answer
    x = 2,005.50

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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.