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Finding the Fourth Proportional to 5,248.50, 7,873.83 and 2,170.50

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Solution

The fourth proportional to 5,248.50, 7,873.83 and 2,170.50 is: 3,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.50 : 7,873.83 = 2,170.50 : x
  2. Step 2: Convert to fraction form
    5,248.50/7,873.83 = 2,170.50/x
  3. Step 3: Cross multiply
    5,248.50x = 7,873.83 × 2,170.50
  4. Step 4: Simplify right side
    5,248.50x = 17,090,148.02
  5. Step 5: Solve for x
    x = 17,090,148.02/5,248.50
  6. Step 6: Final answer
    x = 3,256.20

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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.