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Finding the Fourth Proportional to 4,759.04, 7,139.22 and 1,471.70

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Solution

The fourth proportional to 4,759.04, 7,139.22 and 1,471.70 is: 2,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.04 : 7,139.22 = 1,471.70 : x
  2. Step 2: Convert to fraction form
    4,759.04/7,139.22 = 1,471.70/x
  3. Step 3: Cross multiply
    4,759.04x = 7,139.22 × 1,471.70
  4. Step 4: Simplify right side
    4,759.04x = 10,506,790.07
  5. Step 5: Solve for x
    x = 10,506,790.07/4,759.04
  6. Step 6: Final answer
    x = 2,207.75

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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.