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Finding the Fourth Proportional to 5,294.39, 7,307.60 and 3,616.47

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Solution

The fourth proportional to 5,294.39, 7,307.60 and 3,616.47 is: 4,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.39 : 7,307.60 = 3,616.47 : x
  2. Step 2: Convert to fraction form
    5,294.39/7,307.60 = 3,616.47/x
  3. Step 3: Cross multiply
    5,294.39x = 7,307.60 × 3,616.47
  4. Step 4: Simplify right side
    5,294.39x = 26,427,698.09
  5. Step 5: Solve for x
    x = 26,427,698.09/5,294.39
  6. Step 6: Final answer
    x = 4,991.65

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1.5x scale

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.