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Finding the Fourth Proportional to 5,022.52, 7,528.74 and 1,735

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Solution

The fourth proportional to 5,022.52, 7,528.74 and 1,735 is: 2,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.52 : 7,528.74 = 1,735 : x
  2. Step 2: Convert to fraction form
    5,022.52/7,528.74 = 1,735/x
  3. Step 3: Cross multiply
    5,022.52x = 7,528.74 × 1,735
  4. Step 4: Simplify right side
    5,022.52x = 13,062,363.90
  5. Step 5: Solve for x
    x = 13,062,363.90/5,022.52
  6. Step 6: Final answer
    x = 2,600.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.