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Finding the Fourth Proportional to 5,471.16, 8,206.74 and 1,575.74

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Solution

The fourth proportional to 5,471.16, 8,206.74 and 1,575.74 is: 2,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.16 : 8,206.74 = 1,575.74 : x
  2. Step 2: Convert to fraction form
    5,471.16/8,206.74 = 1,575.74/x
  3. Step 3: Cross multiply
    5,471.16x = 8,206.74 × 1,575.74
  4. Step 4: Simplify right side
    5,471.16x = 12,931,647.45
  5. Step 5: Solve for x
    x = 12,931,647.45/5,471.16
  6. Step 6: Final answer
    x = 2,363.60

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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.