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Finding the Fourth Proportional to 3,463.98, 4,777.65 and 2,205.24

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Solution

The fourth proportional to 3,463.98, 4,777.65 and 2,205.24 is: 3,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.98 : 4,777.65 = 2,205.24 : x
  2. Step 2: Convert to fraction form
    3,463.98/4,777.65 = 2,205.24/x
  3. Step 3: Cross multiply
    3,463.98x = 4,777.65 × 2,205.24
  4. Step 4: Simplify right side
    3,463.98x = 10,535,864.89
  5. Step 5: Solve for x
    x = 10,535,864.89/3,463.98
  6. Step 6: Final answer
    x = 3,041.55

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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.