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Finding the Fourth Proportional to 4,944.82, 7,407.51 and 2,308.69

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Solution

The fourth proportional to 4,944.82, 7,407.51 and 2,308.69 is: 3,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.82 : 7,407.51 = 2,308.69 : x
  2. Step 2: Convert to fraction form
    4,944.82/7,407.51 = 2,308.69/x
  3. Step 3: Cross multiply
    4,944.82x = 7,407.51 × 2,308.69
  4. Step 4: Simplify right side
    4,944.82x = 17,101,644.26
  5. Step 5: Solve for x
    x = 17,101,644.26/4,944.82
  6. Step 6: Final answer
    x = 3,458.50

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1.5x scale

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.