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Finding the Fourth Proportional to 4,932.84, 7,398.17 and 1,422.07

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Solution

The fourth proportional to 4,932.84, 7,398.17 and 1,422.07 is: 2,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.84 : 7,398.17 = 1,422.07 : x
  2. Step 2: Convert to fraction form
    4,932.84/7,398.17 = 1,422.07/x
  3. Step 3: Cross multiply
    4,932.84x = 7,398.17 × 1,422.07
  4. Step 4: Simplify right side
    4,932.84x = 10,520,736.95
  5. Step 5: Solve for x
    x = 10,520,736.95/4,932.84
  6. Step 6: Final answer
    x = 2,132.80

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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.