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Finding the Fourth Proportional to 5,494.74, 8,242.00 and 1,334.77

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Solution

The fourth proportional to 5,494.74, 8,242.00 and 1,334.77 is: 2,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.74 : 8,242.00 = 1,334.77 : x
  2. Step 2: Convert to fraction form
    5,494.74/8,242.00 = 1,334.77/x
  3. Step 3: Cross multiply
    5,494.74x = 8,242.00 × 1,334.77
  4. Step 4: Simplify right side
    5,494.74x = 11,001,171.00
  5. Step 5: Solve for x
    x = 11,001,171.00/5,494.74
  6. Step 6: Final answer
    x = 2,002.13

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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.