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Finding the Fourth Proportional to 3,432.34, 4,736.48 and 2,016.17

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Solution

The fourth proportional to 3,432.34, 4,736.48 and 2,016.17 is: 2,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.34 : 4,736.48 = 2,016.17 : x
  2. Step 2: Convert to fraction form
    3,432.34/4,736.48 = 2,016.17/x
  3. Step 3: Cross multiply
    3,432.34x = 4,736.48 × 2,016.17
  4. Step 4: Simplify right side
    3,432.34x = 9,549,554.61
  5. Step 5: Solve for x
    x = 9,549,554.61/3,432.34
  6. Step 6: Final answer
    x = 2,782.23

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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.