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Finding the Fourth Proportional to 3,899.49, 5,842.64 and 2,357.25

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Solution

The fourth proportional to 3,899.49, 5,842.64 and 2,357.25 is: 3,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.49 : 5,842.64 = 2,357.25 : x
  2. Step 2: Convert to fraction form
    3,899.49/5,842.64 = 2,357.25/x
  3. Step 3: Cross multiply
    3,899.49x = 5,842.64 × 2,357.25
  4. Step 4: Simplify right side
    3,899.49x = 13,772,551.35
  5. Step 5: Solve for x
    x = 13,772,551.35/3,899.49
  6. Step 6: Final answer
    x = 3,531.89

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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.