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Finding the Fourth Proportional to 4,761.04, 7,142.22 and 1,473.70

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Solution

The fourth proportional to 4,761.04, 7,142.22 and 1,473.70 is: 2,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.04 : 7,142.22 = 1,473.70 : x
  2. Step 2: Convert to fraction form
    4,761.04/7,142.22 = 1,473.70/x
  3. Step 3: Cross multiply
    4,761.04x = 7,142.22 × 1,473.70
  4. Step 4: Simplify right side
    4,761.04x = 10,525,489.61
  5. Step 5: Solve for x
    x = 10,525,489.61/4,761.04
  6. Step 6: Final answer
    x = 2,210.75

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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.