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Finding the Fourth Proportional to 4,944.74, 7,417.10 and 1,825.43

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Solution

The fourth proportional to 4,944.74, 7,417.10 and 1,825.43 is: 2,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.74 : 7,417.10 = 1,825.43 : x
  2. Step 2: Convert to fraction form
    4,944.74/7,417.10 = 1,825.43/x
  3. Step 3: Cross multiply
    4,944.74x = 7,417.10 × 1,825.43
  4. Step 4: Simplify right side
    4,944.74x = 13,539,350.64
  5. Step 5: Solve for x
    x = 13,539,350.64/4,944.74
  6. Step 6: Final answer
    x = 2,738.13

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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.