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Finding the Fourth Proportional to 5,692.10, 8,538.15 and 4,856.90

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Solution

The fourth proportional to 5,692.10, 8,538.15 and 4,856.90 is: 7,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.10 : 8,538.15 = 4,856.90 : x
  2. Step 2: Convert to fraction form
    5,692.10/8,538.15 = 4,856.90/x
  3. Step 3: Cross multiply
    5,692.10x = 8,538.15 × 4,856.90
  4. Step 4: Simplify right side
    5,692.10x = 41,468,940.74
  5. Step 5: Solve for x
    x = 41,468,940.74/5,692.10
  6. Step 6: Final answer
    x = 7,285.35

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Similar ratio
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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.