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Finding the Fourth Proportional to 3,566.86, 5,348.23 and 1,375.30

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Solution

The fourth proportional to 3,566.86, 5,348.23 and 1,375.30 is: 2,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.86 : 5,348.23 = 1,375.30 : x
  2. Step 2: Convert to fraction form
    3,566.86/5,348.23 = 1,375.30/x
  3. Step 3: Cross multiply
    3,566.86x = 5,348.23 × 1,375.30
  4. Step 4: Simplify right side
    3,566.86x = 7,355,420.72
  5. Step 5: Solve for x
    x = 7,355,420.72/3,566.86
  6. Step 6: Final answer
    x = 2,062.16

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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.