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Finding the Fourth Proportional to 5,765.74, 8,649.17 and 1,548.94

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Solution

The fourth proportional to 5,765.74, 8,649.17 and 1,548.94 is: 2,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.74 : 8,649.17 = 1,548.94 : x
  2. Step 2: Convert to fraction form
    5,765.74/8,649.17 = 1,548.94/x
  3. Step 3: Cross multiply
    5,765.74x = 8,649.17 × 1,548.94
  4. Step 4: Simplify right side
    5,765.74x = 13,397,045.38
  5. Step 5: Solve for x
    x = 13,397,045.38/5,765.74
  6. Step 6: Final answer
    x = 2,323.56

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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.