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Finding the Fourth Proportional to 5,342.32, 8,012.56 and 1,445.82

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Solution

The fourth proportional to 5,342.32, 8,012.56 and 1,445.82 is: 2,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.32 : 8,012.56 = 1,445.82 : x
  2. Step 2: Convert to fraction form
    5,342.32/8,012.56 = 1,445.82/x
  3. Step 3: Cross multiply
    5,342.32x = 8,012.56 × 1,445.82
  4. Step 4: Simplify right side
    5,342.32x = 11,584,719.50
  5. Step 5: Solve for x
    x = 11,584,719.50/5,342.32
  6. Step 6: Final answer
    x = 2,168.48

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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.