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Finding the Fourth Proportional to 4,492.78, 6,739.18 and 2,024.73

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Solution

The fourth proportional to 4,492.78, 6,739.18 and 2,024.73 is: 3,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.78 : 6,739.18 = 2,024.73 : x
  2. Step 2: Convert to fraction form
    4,492.78/6,739.18 = 2,024.73/x
  3. Step 3: Cross multiply
    4,492.78x = 6,739.18 × 2,024.73
  4. Step 4: Simplify right side
    4,492.78x = 13,645,019.92
  5. Step 5: Solve for x
    x = 13,645,019.92/4,492.78
  6. Step 6: Final answer
    x = 3,037.10

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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.