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Finding the Fourth Proportional to 3,827.80, 5,281.93 and 2,148.98

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Solution

The fourth proportional to 3,827.80, 5,281.93 and 2,148.98 is: 2,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.80 : 5,281.93 = 2,148.98 : x
  2. Step 2: Convert to fraction form
    3,827.80/5,281.93 = 2,148.98/x
  3. Step 3: Cross multiply
    3,827.80x = 5,281.93 × 2,148.98
  4. Step 4: Simplify right side
    3,827.80x = 11,350,761.93
  5. Step 5: Solve for x
    x = 11,350,761.93/3,827.80
  6. Step 6: Final answer
    x = 2,965.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.