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Finding the Fourth Proportional to 4,710.32, 7,062.80 and 1,422.48

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Solution

The fourth proportional to 4,710.32, 7,062.80 and 1,422.48 is: 2,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.32 : 7,062.80 = 1,422.48 : x
  2. Step 2: Convert to fraction form
    4,710.32/7,062.80 = 1,422.48/x
  3. Step 3: Cross multiply
    4,710.32x = 7,062.80 × 1,422.48
  4. Step 4: Simplify right side
    4,710.32x = 10,046,691.74
  5. Step 5: Solve for x
    x = 10,046,691.74/4,710.32
  6. Step 6: Final answer
    x = 2,132.91

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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.