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Finding the Fourth Proportional to 4,753.78, 7,129.23 and 1,422.25

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Solution

The fourth proportional to 4,753.78, 7,129.23 and 1,422.25 is: 2,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.78 : 7,129.23 = 1,422.25 : x
  2. Step 2: Convert to fraction form
    4,753.78/7,129.23 = 1,422.25/x
  3. Step 3: Cross multiply
    4,753.78x = 7,129.23 × 1,422.25
  4. Step 4: Simplify right side
    4,753.78x = 10,139,547.37
  5. Step 5: Solve for x
    x = 10,139,547.37/4,753.78
  6. Step 6: Final answer
    x = 2,132.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.