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Finding the Fourth Proportional to 4,867.02, 7,297.17 and 3,113.10

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Solution

The fourth proportional to 4,867.02, 7,297.17 and 3,113.10 is: 4,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.02 : 7,297.17 = 3,113.10 : x
  2. Step 2: Convert to fraction form
    4,867.02/7,297.17 = 3,113.10/x
  3. Step 3: Cross multiply
    4,867.02x = 7,297.17 × 3,113.10
  4. Step 4: Simplify right side
    4,867.02x = 22,716,819.93
  5. Step 5: Solve for x
    x = 22,716,819.93/4,867.02
  6. Step 6: Final answer
    x = 4,667.50

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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.