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Finding the Fourth Proportional to 3,488.53, 5,233.43 and 1,148.67

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Solution

The fourth proportional to 3,488.53, 5,233.43 and 1,148.67 is: 1,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.53 : 5,233.43 = 1,148.67 : x
  2. Step 2: Convert to fraction form
    3,488.53/5,233.43 = 1,148.67/x
  3. Step 3: Cross multiply
    3,488.53x = 5,233.43 × 1,148.67
  4. Step 4: Simplify right side
    3,488.53x = 6,011,484.04
  5. Step 5: Solve for x
    x = 6,011,484.04/3,488.53
  6. Step 6: Final answer
    x = 1,723.21

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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.