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Finding the Fourth Proportional to 3,417.76, 5,127.28 and 1,108.96

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Solution

The fourth proportional to 3,417.76, 5,127.28 and 1,108.96 is: 1,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.76 : 5,127.28 = 1,108.96 : x
  2. Step 2: Convert to fraction form
    3,417.76/5,127.28 = 1,108.96/x
  3. Step 3: Cross multiply
    3,417.76x = 5,127.28 × 1,108.96
  4. Step 4: Simplify right side
    3,417.76x = 5,685,948.43
  5. Step 5: Solve for x
    x = 5,685,948.43/3,417.76
  6. Step 6: Final answer
    x = 1,663.65

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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.