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Finding the Fourth Proportional to 3,453.59, 5,180.68 and 1,113.65

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Solution

The fourth proportional to 3,453.59, 5,180.68 and 1,113.65 is: 1,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.59 : 5,180.68 = 1,113.65 : x
  2. Step 2: Convert to fraction form
    3,453.59/5,180.68 = 1,113.65/x
  3. Step 3: Cross multiply
    3,453.59x = 5,180.68 × 1,113.65
  4. Step 4: Simplify right side
    3,453.59x = 5,769,462.33
  5. Step 5: Solve for x
    x = 5,769,462.33/3,453.59
  6. Step 6: Final answer
    x = 1,670.57

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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.