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Finding the Fourth Proportional to 5,218.92, 7,828.38 and 4,402.44

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Solution

The fourth proportional to 5,218.92, 7,828.38 and 4,402.44 is: 6,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.92 : 7,828.38 = 4,402.44 : x
  2. Step 2: Convert to fraction form
    5,218.92/7,828.38 = 4,402.44/x
  3. Step 3: Cross multiply
    5,218.92x = 7,828.38 × 4,402.44
  4. Step 4: Simplify right side
    5,218.92x = 34,463,973.25
  5. Step 5: Solve for x
    x = 34,463,973.25/5,218.92
  6. Step 6: Final answer
    x = 6,603.66

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Similar ratio
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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.