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Finding the Fourth Proportional to 3,641.76, 5,461.02 and 2,773.44

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Solution

The fourth proportional to 3,641.76, 5,461.02 and 2,773.44 is: 4,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.76 : 5,461.02 = 2,773.44 : x
  2. Step 2: Convert to fraction form
    3,641.76/5,461.02 = 2,773.44/x
  3. Step 3: Cross multiply
    3,641.76x = 5,461.02 × 2,773.44
  4. Step 4: Simplify right side
    3,641.76x = 15,145,811.31
  5. Step 5: Solve for x
    x = 15,145,811.31/3,641.76
  6. Step 6: Final answer
    x = 4,158.93

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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.