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Finding the Fourth Proportional to 5,497.57, 7,586.65 and 2,979.70

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Solution

The fourth proportional to 5,497.57, 7,586.65 and 2,979.70 is: 4,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.57 : 7,586.65 = 2,979.70 : x
  2. Step 2: Convert to fraction form
    5,497.57/7,586.65 = 2,979.70/x
  3. Step 3: Cross multiply
    5,497.57x = 7,586.65 × 2,979.70
  4. Step 4: Simplify right side
    5,497.57x = 22,605,941.01
  5. Step 5: Solve for x
    x = 22,605,941.01/5,497.57
  6. Step 6: Final answer
    x = 4,111.99

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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.