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Finding the Fourth Proportional to 5,752.14, 8,626.05 and 1,855.50

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Solution

The fourth proportional to 5,752.14, 8,626.05 and 1,855.50 is: 2,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.14 : 8,626.05 = 1,855.50 : x
  2. Step 2: Convert to fraction form
    5,752.14/8,626.05 = 1,855.50/x
  3. Step 3: Cross multiply
    5,752.14x = 8,626.05 × 1,855.50
  4. Step 4: Simplify right side
    5,752.14x = 16,005,635.78
  5. Step 5: Solve for x
    x = 16,005,635.78/5,752.14
  6. Step 6: Final answer
    x = 2,782.55

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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.