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Finding the Fourth Proportional to 3,488.64, 5,233.73 and 1,148.55

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Solution

The fourth proportional to 3,488.64, 5,233.73 and 1,148.55 is: 1,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.64 : 5,233.73 = 1,148.55 : x
  2. Step 2: Convert to fraction form
    3,488.64/5,233.73 = 1,148.55/x
  3. Step 3: Cross multiply
    3,488.64x = 5,233.73 × 1,148.55
  4. Step 4: Simplify right side
    3,488.64x = 6,011,175.22
  5. Step 5: Solve for x
    x = 6,011,175.22/3,488.64
  6. Step 6: Final answer
    x = 1,723.07

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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.