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Finding the Fourth Proportional to 3,776.96, 5,659.01 and 2,458.70

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Solution

The fourth proportional to 3,776.96, 5,659.01 and 2,458.70 is: 3,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.96 : 5,659.01 = 2,458.70 : x
  2. Step 2: Convert to fraction form
    3,776.96/5,659.01 = 2,458.70/x
  3. Step 3: Cross multiply
    3,776.96x = 5,659.01 × 2,458.70
  4. Step 4: Simplify right side
    3,776.96x = 13,913,843.40
  5. Step 5: Solve for x
    x = 13,913,843.40/3,776.96
  6. Step 6: Final answer
    x = 3,683.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.