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Finding the Fourth Proportional to 5,402.68, 7,453.70 and 3,412.52

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Solution

The fourth proportional to 5,402.68, 7,453.70 and 3,412.52 is: 4,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.68 : 7,453.70 = 3,412.52 : x
  2. Step 2: Convert to fraction form
    5,402.68/7,453.70 = 3,412.52/x
  3. Step 3: Cross multiply
    5,402.68x = 7,453.70 × 3,412.52
  4. Step 4: Simplify right side
    5,402.68x = 25,435,900.32
  5. Step 5: Solve for x
    x = 25,435,900.32/5,402.68
  6. Step 6: Final answer
    x = 4,708.02

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