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Finding the Fourth Proportional to 4,849.78, 7,275.12 and 1,562.10

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Solution

The fourth proportional to 4,849.78, 7,275.12 and 1,562.10 is: 2,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.78 : 7,275.12 = 1,562.10 : x
  2. Step 2: Convert to fraction form
    4,849.78/7,275.12 = 1,562.10/x
  3. Step 3: Cross multiply
    4,849.78x = 7,275.12 × 1,562.10
  4. Step 4: Simplify right side
    4,849.78x = 11,364,464.95
  5. Step 5: Solve for x
    x = 11,364,464.95/4,849.78
  6. Step 6: Final answer
    x = 2,343.29

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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.