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Finding the Fourth Proportional to 5,471.98, 7,549.05 and 3,584.02

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Solution

The fourth proportional to 5,471.98, 7,549.05 and 3,584.02 is: 4,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.98 : 7,549.05 = 3,584.02 : x
  2. Step 2: Convert to fraction form
    5,471.98/7,549.05 = 3,584.02/x
  3. Step 3: Cross multiply
    5,471.98x = 7,549.05 × 3,584.02
  4. Step 4: Simplify right side
    5,471.98x = 27,055,946.18
  5. Step 5: Solve for x
    x = 27,055,946.18/5,471.98
  6. Step 6: Final answer
    x = 4,944.45

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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.