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Finding the Fourth Proportional to 4,648.32, 6,974.25 and 2,800.75

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Solution

The fourth proportional to 4,648.32, 6,974.25 and 2,800.75 is: 4,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.32 : 6,974.25 = 2,800.75 : x
  2. Step 2: Convert to fraction form
    4,648.32/6,974.25 = 2,800.75/x
  3. Step 3: Cross multiply
    4,648.32x = 6,974.25 × 2,800.75
  4. Step 4: Simplify right side
    4,648.32x = 19,533,130.69
  5. Step 5: Solve for x
    x = 19,533,130.69/4,648.32
  6. Step 6: Final answer
    x = 4,202.19

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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.