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Finding the Fourth Proportional to 4,899.97, 7,350.80 and 1,614

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Solution

The fourth proportional to 4,899.97, 7,350.80 and 1,614 is: 2,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.97 : 7,350.80 = 1,614 : x
  2. Step 2: Convert to fraction form
    4,899.97/7,350.80 = 1,614/x
  3. Step 3: Cross multiply
    4,899.97x = 7,350.80 × 1,614
  4. Step 4: Simplify right side
    4,899.97x = 11,864,191.20
  5. Step 5: Solve for x
    x = 11,864,191.20/4,899.97
  6. Step 6: Final answer
    x = 2,421.28

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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.