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Finding the Fourth Proportional to 3,742.98, 5,167.72 and 3,349.32

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Solution

The fourth proportional to 3,742.98, 5,167.72 and 3,349.32 is: 4,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.98 : 5,167.72 = 3,349.32 : x
  2. Step 2: Convert to fraction form
    3,742.98/5,167.72 = 3,349.32/x
  3. Step 3: Cross multiply
    3,742.98x = 5,167.72 × 3,349.32
  4. Step 4: Simplify right side
    3,742.98x = 17,308,347.95
  5. Step 5: Solve for x
    x = 17,308,347.95/3,742.98
  6. Step 6: Final answer
    x = 4,624.22

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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.