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Finding the Fourth Proportional to 5,224.58, 7,841.04 and 3,654.52

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Solution

The fourth proportional to 5,224.58, 7,841.04 and 3,654.52 is: 5,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.58 : 7,841.04 = 3,654.52 : x
  2. Step 2: Convert to fraction form
    5,224.58/7,841.04 = 3,654.52/x
  3. Step 3: Cross multiply
    5,224.58x = 7,841.04 × 3,654.52
  4. Step 4: Simplify right side
    5,224.58x = 28,655,237.50
  5. Step 5: Solve for x
    x = 28,655,237.50/5,224.58
  6. Step 6: Final answer
    x = 5,484.70

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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.