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Finding the Fourth Proportional to 3,565.92, 4,922.88 and 2,389

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Solution

The fourth proportional to 3,565.92, 4,922.88 and 2,389 is: 3,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.92 : 4,922.88 = 2,389 : x
  2. Step 2: Convert to fraction form
    3,565.92/4,922.88 = 2,389/x
  3. Step 3: Cross multiply
    3,565.92x = 4,922.88 × 2,389
  4. Step 4: Simplify right side
    3,565.92x = 11,760,760.32
  5. Step 5: Solve for x
    x = 11,760,760.32/3,565.92
  6. Step 6: Final answer
    x = 3,298.10

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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.