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Finding the Fourth Proportional to 3,765.86, 5,197.76 and 2,506.97

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Solution

The fourth proportional to 3,765.86, 5,197.76 and 2,506.97 is: 3,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.86 : 5,197.76 = 2,506.97 : x
  2. Step 2: Convert to fraction form
    3,765.86/5,197.76 = 2,506.97/x
  3. Step 3: Cross multiply
    3,765.86x = 5,197.76 × 2,506.97
  4. Step 4: Simplify right side
    3,765.86x = 13,030,628.39
  5. Step 5: Solve for x
    x = 13,030,628.39/3,765.86
  6. Step 6: Final answer
    x = 3,460.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.