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Finding the Fourth Proportional to 3,412.90, 5,114.54 and 2,716.47

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Solution

The fourth proportional to 3,412.90, 5,114.54 and 2,716.47 is: 4,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.90 : 5,114.54 = 2,716.47 : x
  2. Step 2: Convert to fraction form
    3,412.90/5,114.54 = 2,716.47/x
  3. Step 3: Cross multiply
    3,412.90x = 5,114.54 × 2,716.47
  4. Step 4: Simplify right side
    3,412.90x = 13,893,501.26
  5. Step 5: Solve for x
    x = 13,893,501.26/3,412.90
  6. Step 6: Final answer
    x = 4,070.88

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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.