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Finding the Fourth Proportional to 4,708.97, 7,064.69 and 1,422.15

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Solution

The fourth proportional to 4,708.97, 7,064.69 and 1,422.15 is: 2,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.97 : 7,064.69 = 1,422.15 : x
  2. Step 2: Convert to fraction form
    4,708.97/7,064.69 = 1,422.15/x
  3. Step 3: Cross multiply
    4,708.97x = 7,064.69 × 1,422.15
  4. Step 4: Simplify right side
    4,708.97x = 10,047,041.77
  5. Step 5: Solve for x
    x = 10,047,041.77/4,708.97
  6. Step 6: Final answer
    x = 2,133.60

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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.