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Finding the Fourth Proportional to 4,905.88, 7,357.92 and 1,442.32

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Solution

The fourth proportional to 4,905.88, 7,357.92 and 1,442.32 is: 2,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.88 : 7,357.92 = 1,442.32 : x
  2. Step 2: Convert to fraction form
    4,905.88/7,357.92 = 1,442.32/x
  3. Step 3: Cross multiply
    4,905.88x = 7,357.92 × 1,442.32
  4. Step 4: Simplify right side
    4,905.88x = 10,612,475.17
  5. Step 5: Solve for x
    x = 10,612,475.17/4,905.88
  6. Step 6: Final answer
    x = 2,163.22

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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.