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Finding the Fourth Proportional to 3,412.87, 5,092.69 and 3,045.13

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Solution

The fourth proportional to 3,412.87, 5,092.69 and 3,045.13 is: 4,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.87 : 5,092.69 = 3,045.13 : x
  2. Step 2: Convert to fraction form
    3,412.87/5,092.69 = 3,045.13/x
  3. Step 3: Cross multiply
    3,412.87x = 5,092.69 × 3,045.13
  4. Step 4: Simplify right side
    3,412.87x = 15,507,903.10
  5. Step 5: Solve for x
    x = 15,507,903.10/3,412.87
  6. Step 6: Final answer
    x = 4,543.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.