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Finding the Fourth Proportional to 4,235.49, 5,847.86 and 2,642.76

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Solution

The fourth proportional to 4,235.49, 5,847.86 and 2,642.76 is: 3,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.49 : 5,847.86 = 2,642.76 : x
  2. Step 2: Convert to fraction form
    4,235.49/5,847.86 = 2,642.76/x
  3. Step 3: Cross multiply
    4,235.49x = 5,847.86 × 2,642.76
  4. Step 4: Simplify right side
    4,235.49x = 15,454,490.49
  5. Step 5: Solve for x
    x = 15,454,490.49/4,235.49
  6. Step 6: Final answer
    x = 3,648.81

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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.