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Finding the Fourth Proportional to 3,765.45, 5,641.68 and 2,498.22

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Solution

The fourth proportional to 3,765.45, 5,641.68 and 2,498.22 is: 3,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.45 : 5,641.68 = 2,498.22 : x
  2. Step 2: Convert to fraction form
    3,765.45/5,641.68 = 2,498.22/x
  3. Step 3: Cross multiply
    3,765.45x = 5,641.68 × 2,498.22
  4. Step 4: Simplify right side
    3,765.45x = 14,094,157.81
  5. Step 5: Solve for x
    x = 14,094,157.81/3,765.45
  6. Step 6: Final answer
    x = 3,743.02

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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.