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Finding the Fourth Proportional to 4,854.98, 7,276.84 and 2,077.49

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Solution

The fourth proportional to 4,854.98, 7,276.84 and 2,077.49 is: 3,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.98 : 7,276.84 = 2,077.49 : x
  2. Step 2: Convert to fraction form
    4,854.98/7,276.84 = 2,077.49/x
  3. Step 3: Cross multiply
    4,854.98x = 7,276.84 × 2,077.49
  4. Step 4: Simplify right side
    4,854.98x = 15,117,562.33
  5. Step 5: Solve for x
    x = 15,117,562.33/4,854.98
  6. Step 6: Final answer
    x = 3,113.83

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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.