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Finding the Fourth Proportional to 3,397.90, 4,681.91 and 3,164.15

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Solution

The fourth proportional to 3,397.90, 4,681.91 and 3,164.15 is: 4,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.90 : 4,681.91 = 3,164.15 : x
  2. Step 2: Convert to fraction form
    3,397.90/4,681.91 = 3,164.15/x
  3. Step 3: Cross multiply
    3,397.90x = 4,681.91 × 3,164.15
  4. Step 4: Simplify right side
    3,397.90x = 14,814,250.03
  5. Step 5: Solve for x
    x = 14,814,250.03/3,397.90
  6. Step 6: Final answer
    x = 4,359.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.