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Finding the Fourth Proportional to 3,574.68, 5,337.57 and 3,202.08

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Solution

The fourth proportional to 3,574.68, 5,337.57 and 3,202.08 is: 4,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.68 : 5,337.57 = 3,202.08 : x
  2. Step 2: Convert to fraction form
    3,574.68/5,337.57 = 3,202.08/x
  3. Step 3: Cross multiply
    3,574.68x = 5,337.57 × 3,202.08
  4. Step 4: Simplify right side
    3,574.68x = 17,091,326.15
  5. Step 5: Solve for x
    x = 17,091,326.15/3,574.68
  6. Step 6: Final answer
    x = 4,781.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.