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Finding the Fourth Proportional to 4,463.95, 6,695.85 and 1,542.18

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Solution

The fourth proportional to 4,463.95, 6,695.85 and 1,542.18 is: 2,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.95 : 6,695.85 = 1,542.18 : x
  2. Step 2: Convert to fraction form
    4,463.95/6,695.85 = 1,542.18/x
  3. Step 3: Cross multiply
    4,463.95x = 6,695.85 × 1,542.18
  4. Step 4: Simplify right side
    4,463.95x = 10,326,205.95
  5. Step 5: Solve for x
    x = 10,326,205.95/4,463.95
  6. Step 6: Final answer
    x = 2,313.24

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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.