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Finding the Fourth Proportional to 3,117.72, 4,675.14 and 1,168.44

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Solution

The fourth proportional to 3,117.72, 4,675.14 and 1,168.44 is: 1,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.72 : 4,675.14 = 1,168.44 : x
  2. Step 2: Convert to fraction form
    3,117.72/4,675.14 = 1,168.44/x
  3. Step 3: Cross multiply
    3,117.72x = 4,675.14 × 1,168.44
  4. Step 4: Simplify right side
    3,117.72x = 5,462,620.58
  5. Step 5: Solve for x
    x = 5,462,620.58/3,117.72
  6. Step 6: Final answer
    x = 1,752.12

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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.