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Finding the Fourth Proportional to 3,522.44, 4,859.70 and 2,030.72

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Solution

The fourth proportional to 3,522.44, 4,859.70 and 2,030.72 is: 2,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.44 : 4,859.70 = 2,030.72 : x
  2. Step 2: Convert to fraction form
    3,522.44/4,859.70 = 2,030.72/x
  3. Step 3: Cross multiply
    3,522.44x = 4,859.70 × 2,030.72
  4. Step 4: Simplify right side
    3,522.44x = 9,868,685.41
  5. Step 5: Solve for x
    x = 9,868,685.41/3,522.44
  6. Step 6: Final answer
    x = 2,801.66

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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.