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Finding the Fourth Proportional to 5,538.07, 7,675.53 and 5,434.39

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Solution

The fourth proportional to 5,538.07, 7,675.53 and 5,434.39 is: 7,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.07 : 7,675.53 = 5,434.39 : x
  2. Step 2: Convert to fraction form
    5,538.07/7,675.53 = 5,434.39/x
  3. Step 3: Cross multiply
    5,538.07x = 7,675.53 × 5,434.39
  4. Step 4: Simplify right side
    5,538.07x = 41,711,823.48
  5. Step 5: Solve for x
    x = 41,711,823.48/5,538.07
  6. Step 6: Final answer
    x = 7,531.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.