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Finding the Fourth Proportional to 5,754.40, 8,626.32 and 1,856.80

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Solution

The fourth proportional to 5,754.40, 8,626.32 and 1,856.80 is: 2,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.40 : 8,626.32 = 1,856.80 : x
  2. Step 2: Convert to fraction form
    5,754.40/8,626.32 = 1,856.80/x
  3. Step 3: Cross multiply
    5,754.40x = 8,626.32 × 1,856.80
  4. Step 4: Simplify right side
    5,754.40x = 16,017,350.98
  5. Step 5: Solve for x
    x = 16,017,350.98/5,754.40
  6. Step 6: Final answer
    x = 2,783.50

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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.