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Finding the Fourth Proportional to 5,471.40, 8,188.40 and 4,594.80

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Solution

The fourth proportional to 5,471.40, 8,188.40 and 4,594.80 is: 6,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.40 : 8,188.40 = 4,594.80 : x
  2. Step 2: Convert to fraction form
    5,471.40/8,188.40 = 4,594.80/x
  3. Step 3: Cross multiply
    5,471.40x = 8,188.40 × 4,594.80
  4. Step 4: Simplify right side
    5,471.40x = 37,624,060.32
  5. Step 5: Solve for x
    x = 37,624,060.32/5,471.40
  6. Step 6: Final answer
    x = 6,876.50

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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.