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Finding the Fourth Proportional to 3,525.84, 4,865.90 and 2,034.05

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Solution

The fourth proportional to 3,525.84, 4,865.90 and 2,034.05 is: 2,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.84 : 4,865.90 = 2,034.05 : x
  2. Step 2: Convert to fraction form
    3,525.84/4,865.90 = 2,034.05/x
  3. Step 3: Cross multiply
    3,525.84x = 4,865.90 × 2,034.05
  4. Step 4: Simplify right side
    3,525.84x = 9,897,449.40
  5. Step 5: Solve for x
    x = 9,897,449.40/3,525.84
  6. Step 6: Final answer
    x = 2,807.12

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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.