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Finding the Fourth Proportional to 3,876.56, 5,816.40 and 1,411.55

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Solution

The fourth proportional to 3,876.56, 5,816.40 and 1,411.55 is: 2,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.56 : 5,816.40 = 1,411.55 : x
  2. Step 2: Convert to fraction form
    3,876.56/5,816.40 = 1,411.55/x
  3. Step 3: Cross multiply
    3,876.56x = 5,816.40 × 1,411.55
  4. Step 4: Simplify right side
    3,876.56x = 8,210,132.36
  5. Step 5: Solve for x
    x = 8,210,132.36/3,876.56
  6. Step 6: Final answer
    x = 2,117.89

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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.