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Finding the Fourth Proportional to 4,376.58, 6,565.90 and 2,689.86

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Solution

The fourth proportional to 4,376.58, 6,565.90 and 2,689.86 is: 4,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.58 : 6,565.90 = 2,689.86 : x
  2. Step 2: Convert to fraction form
    4,376.58/6,565.90 = 2,689.86/x
  3. Step 3: Cross multiply
    4,376.58x = 6,565.90 × 2,689.86
  4. Step 4: Simplify right side
    4,376.58x = 17,661,305.50
  5. Step 5: Solve for x
    x = 17,661,305.50/4,376.58
  6. Step 6: Final answer
    x = 4,035.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.