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Finding the Fourth Proportional to 5,677.80, 8,471.09 and 5,054.10

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Solution

The fourth proportional to 5,677.80, 8,471.09 and 5,054.10 is: 7,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.80 : 8,471.09 = 5,054.10 : x
  2. Step 2: Convert to fraction form
    5,677.80/8,471.09 = 5,054.10/x
  3. Step 3: Cross multiply
    5,677.80x = 8,471.09 × 5,054.10
  4. Step 4: Simplify right side
    5,677.80x = 42,813,710.70
  5. Step 5: Solve for x
    x = 42,813,710.70/5,677.80
  6. Step 6: Final answer
    x = 7,540.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.