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Finding the Fourth Proportional to 5,835.25, 8,756.52 and 2,372.50

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Solution

The fourth proportional to 5,835.25, 8,756.52 and 2,372.50 is: 3,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.25 : 8,756.52 = 2,372.50 : x
  2. Step 2: Convert to fraction form
    5,835.25/8,756.52 = 2,372.50/x
  3. Step 3: Cross multiply
    5,835.25x = 8,756.52 × 2,372.50
  4. Step 4: Simplify right side
    5,835.25x = 20,774,843.70
  5. Step 5: Solve for x
    x = 20,774,843.70/5,835.25
  6. Step 6: Final answer
    x = 3,560.23

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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.