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Finding the Fourth Proportional to 3,047.96, 4,571.90 and 856.57

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Solution

The fourth proportional to 3,047.96, 4,571.90 and 856.57 is: 1,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.96 : 4,571.90 = 856.57 : x
  2. Step 2: Convert to fraction form
    3,047.96/4,571.90 = 856.57/x
  3. Step 3: Cross multiply
    3,047.96x = 4,571.90 × 856.57
  4. Step 4: Simplify right side
    3,047.96x = 3,916,152.38
  5. Step 5: Solve for x
    x = 3,916,152.38/3,047.96
  6. Step 6: Final answer
    x = 1,284.84

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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.