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Finding the Fourth Proportional to 3,385.56, 5,078.80 and 1,537.14

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Solution

The fourth proportional to 3,385.56, 5,078.80 and 1,537.14 is: 2,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.56 : 5,078.80 = 1,537.14 : x
  2. Step 2: Convert to fraction form
    3,385.56/5,078.80 = 1,537.14/x
  3. Step 3: Cross multiply
    3,385.56x = 5,078.80 × 1,537.14
  4. Step 4: Simplify right side
    3,385.56x = 7,806,826.63
  5. Step 5: Solve for x
    x = 7,806,826.63/3,385.56
  6. Step 6: Final answer
    x = 2,305.92

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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.