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Finding the Fourth Proportional to 4,938.22, 7,406.24 and 1,427.46

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Solution

The fourth proportional to 4,938.22, 7,406.24 and 1,427.46 is: 2,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.22 : 7,406.24 = 1,427.46 : x
  2. Step 2: Convert to fraction form
    4,938.22/7,406.24 = 1,427.46/x
  3. Step 3: Cross multiply
    4,938.22x = 7,406.24 × 1,427.46
  4. Step 4: Simplify right side
    4,938.22x = 10,572,118.10
  5. Step 5: Solve for x
    x = 10,572,118.10/4,938.22
  6. Step 6: Final answer
    x = 2,140.88

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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.