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Finding the Fourth Proportional to 5,765.59, 8,649.59 and 1,869.69

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Solution

The fourth proportional to 5,765.59, 8,649.59 and 1,869.69 is: 2,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.59 : 8,649.59 = 1,869.69 : x
  2. Step 2: Convert to fraction form
    5,765.59/8,649.59 = 1,869.69/x
  3. Step 3: Cross multiply
    5,765.59x = 8,649.59 × 1,869.69
  4. Step 4: Simplify right side
    5,765.59x = 16,172,034.98
  5. Step 5: Solve for x
    x = 16,172,034.98/5,765.59
  6. Step 6: Final answer
    x = 2,804.93

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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.