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Finding the Fourth Proportional to 3,527.80, 4,868.30 and 2,035.78

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Solution

The fourth proportional to 3,527.80, 4,868.30 and 2,035.78 is: 2,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.80 : 4,868.30 = 2,035.78 : x
  2. Step 2: Convert to fraction form
    3,527.80/4,868.30 = 2,035.78/x
  3. Step 3: Cross multiply
    3,527.80x = 4,868.30 × 2,035.78
  4. Step 4: Simplify right side
    3,527.80x = 9,910,787.77
  5. Step 5: Solve for x
    x = 9,910,787.77/3,527.80
  6. Step 6: Final answer
    x = 2,809.34

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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.