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Finding the Fourth Proportional to 5,568.66, 7,691.49 and 4,405.14

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Solution

The fourth proportional to 5,568.66, 7,691.49 and 4,405.14 is: 6,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.66 : 7,691.49 = 4,405.14 : x
  2. Step 2: Convert to fraction form
    5,568.66/7,691.49 = 4,405.14/x
  3. Step 3: Cross multiply
    5,568.66x = 7,691.49 × 4,405.14
  4. Step 4: Simplify right side
    5,568.66x = 33,882,090.26
  5. Step 5: Solve for x
    x = 33,882,090.26/5,568.66
  6. Step 6: Final answer
    x = 6,084.42

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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.