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Finding the Fourth Proportional to 3,308.42, 4,565.87 and 1,892.16

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Solution

The fourth proportional to 3,308.42, 4,565.87 and 1,892.16 is: 2,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.42 : 4,565.87 = 1,892.16 : x
  2. Step 2: Convert to fraction form
    3,308.42/4,565.87 = 1,892.16/x
  3. Step 3: Cross multiply
    3,308.42x = 4,565.87 × 1,892.16
  4. Step 4: Simplify right side
    3,308.42x = 8,639,356.58
  5. Step 5: Solve for x
    x = 8,639,356.58/3,308.42
  6. Step 6: Final answer
    x = 2,611.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.