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Finding the Fourth Proportional to 4,961.96, 7,437.77 and 1,673.93

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Solution

The fourth proportional to 4,961.96, 7,437.77 and 1,673.93 is: 2,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.96 : 7,437.77 = 1,673.93 : x
  2. Step 2: Convert to fraction form
    4,961.96/7,437.77 = 1,673.93/x
  3. Step 3: Cross multiply
    4,961.96x = 7,437.77 × 1,673.93
  4. Step 4: Simplify right side
    4,961.96x = 12,450,260.78
  5. Step 5: Solve for x
    x = 12,450,260.78/4,961.96
  6. Step 6: Final answer
    x = 2,509.14

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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.