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Finding the Fourth Proportional to 3,566.85, 5,349.87 and 1,375.40

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Solution

The fourth proportional to 3,566.85, 5,349.87 and 1,375.40 is: 2,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.85 : 5,349.87 = 1,375.40 : x
  2. Step 2: Convert to fraction form
    3,566.85/5,349.87 = 1,375.40/x
  3. Step 3: Cross multiply
    3,566.85x = 5,349.87 × 1,375.40
  4. Step 4: Simplify right side
    3,566.85x = 7,358,184.45
  5. Step 5: Solve for x
    x = 7,358,184.45/3,566.85
  6. Step 6: Final answer
    x = 2,062.94

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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.