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Finding the Fourth Proportional to 3,548.72, 5,350.10 and 3,298.16

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Solution

The fourth proportional to 3,548.72, 5,350.10 and 3,298.16 is: 4,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.72 : 5,350.10 = 3,298.16 : x
  2. Step 2: Convert to fraction form
    3,548.72/5,350.10 = 3,298.16/x
  3. Step 3: Cross multiply
    3,548.72x = 5,350.10 × 3,298.16
  4. Step 4: Simplify right side
    3,548.72x = 17,645,485.82
  5. Step 5: Solve for x
    x = 17,645,485.82/3,548.72
  6. Step 6: Final answer
    x = 4,972.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.