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Finding the Fourth Proportional to 5,613.68, 8,420.48 and 1,453.70

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Solution

The fourth proportional to 5,613.68, 8,420.48 and 1,453.70 is: 2,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.68 : 8,420.48 = 1,453.70 : x
  2. Step 2: Convert to fraction form
    5,613.68/8,420.48 = 1,453.70/x
  3. Step 3: Cross multiply
    5,613.68x = 8,420.48 × 1,453.70
  4. Step 4: Simplify right side
    5,613.68x = 12,240,827.73
  5. Step 5: Solve for x
    x = 12,240,827.73/5,613.68
  6. Step 6: Final answer
    x = 2,180.54

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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.