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Finding the Fourth Proportional to 5,583.71, 7,705.49 and 3,065.75

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Solution

The fourth proportional to 5,583.71, 7,705.49 and 3,065.75 is: 4,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.71 : 7,705.49 = 3,065.75 : x
  2. Step 2: Convert to fraction form
    5,583.71/7,705.49 = 3,065.75/x
  3. Step 3: Cross multiply
    5,583.71x = 7,705.49 × 3,065.75
  4. Step 4: Simplify right side
    5,583.71x = 23,623,105.97
  5. Step 5: Solve for x
    x = 23,623,105.97/5,583.71
  6. Step 6: Final answer
    x = 4,230.72

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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.