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Finding the Fourth Proportional to 4,343.84, 6,516.12 and 1,878.72

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Solution

The fourth proportional to 4,343.84, 6,516.12 and 1,878.72 is: 2,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.84 : 6,516.12 = 1,878.72 : x
  2. Step 2: Convert to fraction form
    4,343.84/6,516.12 = 1,878.72/x
  3. Step 3: Cross multiply
    4,343.84x = 6,516.12 × 1,878.72
  4. Step 4: Simplify right side
    4,343.84x = 12,241,964.97
  5. Step 5: Solve for x
    x = 12,241,964.97/4,343.84
  6. Step 6: Final answer
    x = 2,818.24

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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.