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Finding the Fourth Proportional to 5,596.73, 7,724.24 and 3,613.06

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Solution

The fourth proportional to 5,596.73, 7,724.24 and 3,613.06 is: 4,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.73 : 7,724.24 = 3,613.06 : x
  2. Step 2: Convert to fraction form
    5,596.73/7,724.24 = 3,613.06/x
  3. Step 3: Cross multiply
    5,596.73x = 7,724.24 × 3,613.06
  4. Step 4: Simplify right side
    5,596.73x = 27,908,094.10
  5. Step 5: Solve for x
    x = 27,908,094.10/5,596.73
  6. Step 6: Final answer
    x = 4,986.50

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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.