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Finding the Fourth Proportional to 5,497.59, 7,586.59 and 2,979.64

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Solution

The fourth proportional to 5,497.59, 7,586.59 and 2,979.64 is: 4,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.59 : 7,586.59 = 2,979.64 : x
  2. Step 2: Convert to fraction form
    5,497.59/7,586.59 = 2,979.64/x
  3. Step 3: Cross multiply
    5,497.59x = 7,586.59 × 2,979.64
  4. Step 4: Simplify right side
    5,497.59x = 22,605,307.03
  5. Step 5: Solve for x
    x = 22,605,307.03/5,497.59
  6. Step 6: Final answer
    x = 4,111.86

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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.