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Finding the Fourth Proportional to 3,526.38, 4,866.57 and 1,954.50

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Solution

The fourth proportional to 3,526.38, 4,866.57 and 1,954.50 is: 2,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.38 : 4,866.57 = 1,954.50 : x
  2. Step 2: Convert to fraction form
    3,526.38/4,866.57 = 1,954.50/x
  3. Step 3: Cross multiply
    3,526.38x = 4,866.57 × 1,954.50
  4. Step 4: Simplify right side
    3,526.38x = 9,511,711.07
  5. Step 5: Solve for x
    x = 9,511,711.07/3,526.38
  6. Step 6: Final answer
    x = 2,697.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.