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Finding the Fourth Proportional to 4,874.36, 7,312.50 and 2,535.50

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Solution

The fourth proportional to 4,874.36, 7,312.50 and 2,535.50 is: 3,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.36 : 7,312.50 = 2,535.50 : x
  2. Step 2: Convert to fraction form
    4,874.36/7,312.50 = 2,535.50/x
  3. Step 3: Cross multiply
    4,874.36x = 7,312.50 × 2,535.50
  4. Step 4: Simplify right side
    4,874.36x = 18,540,843.75
  5. Step 5: Solve for x
    x = 18,540,843.75/4,874.36
  6. Step 6: Final answer
    x = 3,803.75

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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.