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Finding the Fourth Proportional to 4,756.86, 6,565.05 and 2,869.16

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Solution

The fourth proportional to 4,756.86, 6,565.05 and 2,869.16 is: 3,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.86 : 6,565.05 = 2,869.16 : x
  2. Step 2: Convert to fraction form
    4,756.86/6,565.05 = 2,869.16/x
  3. Step 3: Cross multiply
    4,756.86x = 6,565.05 × 2,869.16
  4. Step 4: Simplify right side
    4,756.86x = 18,836,146.03
  5. Step 5: Solve for x
    x = 18,836,146.03/4,756.86
  6. Step 6: Final answer
    x = 3,959.79

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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.