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Finding the Fourth Proportional to 5,765.46, 8,649.41 and 1,869.56

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Solution

The fourth proportional to 5,765.46, 8,649.41 and 1,869.56 is: 2,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.46 : 8,649.41 = 1,869.56 : x
  2. Step 2: Convert to fraction form
    5,765.46/8,649.41 = 1,869.56/x
  3. Step 3: Cross multiply
    5,765.46x = 8,649.41 × 1,869.56
  4. Step 4: Simplify right side
    5,765.46x = 16,170,603.24
  5. Step 5: Solve for x
    x = 16,170,603.24/5,765.46
  6. Step 6: Final answer
    x = 2,804.74

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1.5x scale

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.