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Finding the Fourth Proportional to 3,659.74, 5,048.38 and 2,314.93

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Solution

The fourth proportional to 3,659.74, 5,048.38 and 2,314.93 is: 3,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.74 : 5,048.38 = 2,314.93 : x
  2. Step 2: Convert to fraction form
    3,659.74/5,048.38 = 2,314.93/x
  3. Step 3: Cross multiply
    3,659.74x = 5,048.38 × 2,314.93
  4. Step 4: Simplify right side
    3,659.74x = 11,686,633.03
  5. Step 5: Solve for x
    x = 11,686,633.03/3,659.74
  6. Step 6: Final answer
    x = 3,193.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.