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Finding the Fourth Proportional to 5,199.76, 7,180.14 and 4,823.20

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Solution

The fourth proportional to 5,199.76, 7,180.14 and 4,823.20 is: 6,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.76 : 7,180.14 = 4,823.20 : x
  2. Step 2: Convert to fraction form
    5,199.76/7,180.14 = 4,823.20/x
  3. Step 3: Cross multiply
    5,199.76x = 7,180.14 × 4,823.20
  4. Step 4: Simplify right side
    5,199.76x = 34,631,251.25
  5. Step 5: Solve for x
    x = 34,631,251.25/5,199.76
  6. Step 6: Final answer
    x = 6,660.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.