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Finding the Fourth Proportional to 5,398.50, 7,453.17 and 3,538.74

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Solution

The fourth proportional to 5,398.50, 7,453.17 and 3,538.74 is: 4,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.50 : 7,453.17 = 3,538.74 : x
  2. Step 2: Convert to fraction form
    5,398.50/7,453.17 = 3,538.74/x
  3. Step 3: Cross multiply
    5,398.50x = 7,453.17 × 3,538.74
  4. Step 4: Simplify right side
    5,398.50x = 26,374,830.81
  5. Step 5: Solve for x
    x = 26,374,830.81/5,398.50
  6. Step 6: Final answer
    x = 4,885.59

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1.5x scale

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.