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Finding the Fourth Proportional to 3,615.68, 5,422.59 and 1,534.61

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Solution

The fourth proportional to 3,615.68, 5,422.59 and 1,534.61 is: 2,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.68 : 5,422.59 = 1,534.61 : x
  2. Step 2: Convert to fraction form
    3,615.68/5,422.59 = 1,534.61/x
  3. Step 3: Cross multiply
    3,615.68x = 5,422.59 × 1,534.61
  4. Step 4: Simplify right side
    3,615.68x = 8,321,533.73
  5. Step 5: Solve for x
    x = 8,321,533.73/3,615.68
  6. Step 6: Final answer
    x = 2,301.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.