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Finding the Fourth Proportional to 5,294.79, 7,944.75 and 2,177.10

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Solution

The fourth proportional to 5,294.79, 7,944.75 and 2,177.10 is: 3,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.79 : 7,944.75 = 2,177.10 : x
  2. Step 2: Convert to fraction form
    5,294.79/7,944.75 = 2,177.10/x
  3. Step 3: Cross multiply
    5,294.79x = 7,944.75 × 2,177.10
  4. Step 4: Simplify right side
    5,294.79x = 17,296,515.23
  5. Step 5: Solve for x
    x = 17,296,515.23/5,294.79
  6. Step 6: Final answer
    x = 3,266.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.