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Finding the Fourth Proportional to 4,007.40, 5,532.18 and 3,109.14

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Solution

The fourth proportional to 4,007.40, 5,532.18 and 3,109.14 is: 4,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.40 : 5,532.18 = 3,109.14 : x
  2. Step 2: Convert to fraction form
    4,007.40/5,532.18 = 3,109.14/x
  3. Step 3: Cross multiply
    4,007.40x = 5,532.18 × 3,109.14
  4. Step 4: Simplify right side
    4,007.40x = 17,200,322.13
  5. Step 5: Solve for x
    x = 17,200,322.13/4,007.40
  6. Step 6: Final answer
    x = 4,292.14

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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.