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Finding the Fourth Proportional to 3,096.71, 4,645.83 and 1,537.45

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Solution

The fourth proportional to 3,096.71, 4,645.83 and 1,537.45 is: 2,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.71 : 4,645.83 = 1,537.45 : x
  2. Step 2: Convert to fraction form
    3,096.71/4,645.83 = 1,537.45/x
  3. Step 3: Cross multiply
    3,096.71x = 4,645.83 × 1,537.45
  4. Step 4: Simplify right side
    3,096.71x = 7,142,708.10
  5. Step 5: Solve for x
    x = 7,142,708.10/3,096.71
  6. Step 6: Final answer
    x = 2,306.55

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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.