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Finding the Fourth Proportional to 3,417.75, 5,126.64 and 1,109.25

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Solution

The fourth proportional to 3,417.75, 5,126.64 and 1,109.25 is: 1,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.75 : 5,126.64 = 1,109.25 : x
  2. Step 2: Convert to fraction form
    3,417.75/5,126.64 = 1,109.25/x
  3. Step 3: Cross multiply
    3,417.75x = 5,126.64 × 1,109.25
  4. Step 4: Simplify right side
    3,417.75x = 5,686,725.42
  5. Step 5: Solve for x
    x = 5,686,725.42/3,417.75
  6. Step 6: Final answer
    x = 1,663.88

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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.