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Finding the Fourth Proportional to 5,352, 7,387.08 and 3,257.88

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Solution

The fourth proportional to 5,352, 7,387.08 and 3,257.88 is: 4,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352 : 7,387.08 = 3,257.88 : x
  2. Step 2: Convert to fraction form
    5,352/7,387.08 = 3,257.88/x
  3. Step 3: Cross multiply
    5,352x = 7,387.08 × 3,257.88
  4. Step 4: Simplify right side
    5,352x = 24,066,220.19
  5. Step 5: Solve for x
    x = 24,066,220.19/5,352
  6. Step 6: Final answer
    x = 4,496.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.