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Finding the Fourth Proportional to 3,432.16, 4,736.42 and 1,860.27

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Solution

The fourth proportional to 3,432.16, 4,736.42 and 1,860.27 is: 2,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.16 : 4,736.42 = 1,860.27 : x
  2. Step 2: Convert to fraction form
    3,432.16/4,736.42 = 1,860.27/x
  3. Step 3: Cross multiply
    3,432.16x = 4,736.42 × 1,860.27
  4. Step 4: Simplify right side
    3,432.16x = 8,811,020.03
  5. Step 5: Solve for x
    x = 8,811,020.03/3,432.16
  6. Step 6: Final answer
    x = 2,567.19

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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.