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Finding the Fourth Proportional to 3,386.39, 5,076.14 and 1,538.81

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Solution

The fourth proportional to 3,386.39, 5,076.14 and 1,538.81 is: 2,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.39 : 5,076.14 = 1,538.81 : x
  2. Step 2: Convert to fraction form
    3,386.39/5,076.14 = 1,538.81/x
  3. Step 3: Cross multiply
    3,386.39x = 5,076.14 × 1,538.81
  4. Step 4: Simplify right side
    3,386.39x = 7,811,200.95
  5. Step 5: Solve for x
    x = 7,811,200.95/3,386.39
  6. Step 6: Final answer
    x = 2,306.65

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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.