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Finding the Fourth Proportional to 5,616.17, 7,743.19 and 3,701.69

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Solution

The fourth proportional to 5,616.17, 7,743.19 and 3,701.69 is: 5,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.17 : 7,743.19 = 3,701.69 : x
  2. Step 2: Convert to fraction form
    5,616.17/7,743.19 = 3,701.69/x
  3. Step 3: Cross multiply
    5,616.17x = 7,743.19 × 3,701.69
  4. Step 4: Simplify right side
    5,616.17x = 28,662,888.99
  5. Step 5: Solve for x
    x = 28,662,888.99/5,616.17
  6. Step 6: Final answer
    x = 5,103.64

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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.