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Finding the Fourth Proportional to 3,613.59, 5,421.60 and 1,148.76

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Solution

The fourth proportional to 3,613.59, 5,421.60 and 1,148.76 is: 1,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.59 : 5,421.60 = 1,148.76 : x
  2. Step 2: Convert to fraction form
    3,613.59/5,421.60 = 1,148.76/x
  3. Step 3: Cross multiply
    3,613.59x = 5,421.60 × 1,148.76
  4. Step 4: Simplify right side
    3,613.59x = 6,228,117.22
  5. Step 5: Solve for x
    x = 6,228,117.22/3,613.59
  6. Step 6: Final answer
    x = 1,723.53

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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.