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Finding the Fourth Proportional to 3,459.61, 5,191.23 and 1,513.18

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Solution

The fourth proportional to 3,459.61, 5,191.23 and 1,513.18 is: 2,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.61 : 5,191.23 = 1,513.18 : x
  2. Step 2: Convert to fraction form
    3,459.61/5,191.23 = 1,513.18/x
  3. Step 3: Cross multiply
    3,459.61x = 5,191.23 × 1,513.18
  4. Step 4: Simplify right side
    3,459.61x = 7,855,239.46
  5. Step 5: Solve for x
    x = 7,855,239.46/3,459.61
  6. Step 6: Final answer
    x = 2,270.56

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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.