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Finding the Fourth Proportional to 3,568.16, 5,358.20 and 2,405.66

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Solution

The fourth proportional to 3,568.16, 5,358.20 and 2,405.66 is: 3,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.16 : 5,358.20 = 2,405.66 : x
  2. Step 2: Convert to fraction form
    3,568.16/5,358.20 = 2,405.66/x
  3. Step 3: Cross multiply
    3,568.16x = 5,358.20 × 2,405.66
  4. Step 4: Simplify right side
    3,568.16x = 12,889,968.59
  5. Step 5: Solve for x
    x = 12,889,968.59/3,568.16
  6. Step 6: Final answer
    x = 3,612.49

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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.