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Finding the Fourth Proportional to 5,386.62, 8,073 and 5,248.20

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Solution

The fourth proportional to 5,386.62, 8,073 and 5,248.20 is: 7,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.62 : 8,073 = 5,248.20 : x
  2. Step 2: Convert to fraction form
    5,386.62/8,073 = 5,248.20/x
  3. Step 3: Cross multiply
    5,386.62x = 8,073 × 5,248.20
  4. Step 4: Simplify right side
    5,386.62x = 42,368,718.60
  5. Step 5: Solve for x
    x = 42,368,718.60/5,386.62
  6. Step 6: Final answer
    x = 7,865.55

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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.