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Finding the Fourth Proportional to 3,397.86, 5,090.31 and 2,421

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Solution

The fourth proportional to 3,397.86, 5,090.31 and 2,421 is: 3,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.86 : 5,090.31 = 2,421 : x
  2. Step 2: Convert to fraction form
    3,397.86/5,090.31 = 2,421/x
  3. Step 3: Cross multiply
    3,397.86x = 5,090.31 × 2,421
  4. Step 4: Simplify right side
    3,397.86x = 12,323,640.51
  5. Step 5: Solve for x
    x = 12,323,640.51/3,397.86
  6. Step 6: Final answer
    x = 3,626.88

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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.