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Finding the Fourth Proportional to 3,511.76, 4,842.60 and 3,016.04

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Solution

The fourth proportional to 3,511.76, 4,842.60 and 3,016.04 is: 4,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.76 : 4,842.60 = 3,016.04 : x
  2. Step 2: Convert to fraction form
    3,511.76/4,842.60 = 3,016.04/x
  3. Step 3: Cross multiply
    3,511.76x = 4,842.60 × 3,016.04
  4. Step 4: Simplify right side
    3,511.76x = 14,605,475.30
  5. Step 5: Solve for x
    x = 14,605,475.30/3,511.76
  6. Step 6: Final answer
    x = 4,159.02

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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.