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Finding the Fourth Proportional to 3,770.24, 5,655.40 and 1,034.24

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Solution

The fourth proportional to 3,770.24, 5,655.40 and 1,034.24 is: 1,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.24 : 5,655.40 = 1,034.24 : x
  2. Step 2: Convert to fraction form
    3,770.24/5,655.40 = 1,034.24/x
  3. Step 3: Cross multiply
    3,770.24x = 5,655.40 × 1,034.24
  4. Step 4: Simplify right side
    3,770.24x = 5,849,040.90
  5. Step 5: Solve for x
    x = 5,849,040.90/3,770.24
  6. Step 6: Final answer
    x = 1,551.37

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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.