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Finding the Fourth Proportional to 3,877.96, 5,818.16 and 1,282.72

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Solution

The fourth proportional to 3,877.96, 5,818.16 and 1,282.72 is: 1,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.96 : 5,818.16 = 1,282.72 : x
  2. Step 2: Convert to fraction form
    3,877.96/5,818.16 = 1,282.72/x
  3. Step 3: Cross multiply
    3,877.96x = 5,818.16 × 1,282.72
  4. Step 4: Simplify right side
    3,877.96x = 7,463,070.20
  5. Step 5: Solve for x
    x = 7,463,070.20/3,877.96
  6. Step 6: Final answer
    x = 1,924.48

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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.