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Finding the Fourth Proportional to 5,765.38, 8,646.24 and 1,868.86

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Solution

The fourth proportional to 5,765.38, 8,646.24 and 1,868.86 is: 2,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.38 : 8,646.24 = 1,868.86 : x
  2. Step 2: Convert to fraction form
    5,765.38/8,646.24 = 1,868.86/x
  3. Step 3: Cross multiply
    5,765.38x = 8,646.24 × 1,868.86
  4. Step 4: Simplify right side
    5,765.38x = 16,158,612.09
  5. Step 5: Solve for x
    x = 16,158,612.09/5,765.38
  6. Step 6: Final answer
    x = 2,802.70

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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.