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Finding the Fourth Proportional to 5,064.70, 6,987.18 and 3,364

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Solution

The fourth proportional to 5,064.70, 6,987.18 and 3,364 is: 4,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.70 : 6,987.18 = 3,364 : x
  2. Step 2: Convert to fraction form
    5,064.70/6,987.18 = 3,364/x
  3. Step 3: Cross multiply
    5,064.70x = 6,987.18 × 3,364
  4. Step 4: Simplify right side
    5,064.70x = 23,504,873.52
  5. Step 5: Solve for x
    x = 23,504,873.52/5,064.70
  6. Step 6: Final answer
    x = 4,640.92

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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.