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Finding the Fourth Proportional to 3,548.12, 5,309.19 and 3,358.02

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Solution

The fourth proportional to 3,548.12, 5,309.19 and 3,358.02 is: 5,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.12 : 5,309.19 = 3,358.02 : x
  2. Step 2: Convert to fraction form
    3,548.12/5,309.19 = 3,358.02/x
  3. Step 3: Cross multiply
    3,548.12x = 5,309.19 × 3,358.02
  4. Step 4: Simplify right side
    3,548.12x = 17,828,366.20
  5. Step 5: Solve for x
    x = 17,828,366.20/3,548.12
  6. Step 6: Final answer
    x = 5,024.74

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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.