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Finding the Fourth Proportional to 5,492.78, 8,273.76 and 5,002.30

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Solution

The fourth proportional to 5,492.78, 8,273.76 and 5,002.30 is: 7,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.78 : 8,273.76 = 5,002.30 : x
  2. Step 2: Convert to fraction form
    5,492.78/8,273.76 = 5,002.30/x
  3. Step 3: Cross multiply
    5,492.78x = 8,273.76 × 5,002.30
  4. Step 4: Simplify right side
    5,492.78x = 41,387,829.65
  5. Step 5: Solve for x
    x = 41,387,829.65/5,492.78
  6. Step 6: Final answer
    x = 7,534.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.