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Finding the Fourth Proportional to 4,590.81, 6,886.22 and 1,471.14

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Solution

The fourth proportional to 4,590.81, 6,886.22 and 1,471.14 is: 2,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.81 : 6,886.22 = 1,471.14 : x
  2. Step 2: Convert to fraction form
    4,590.81/6,886.22 = 1,471.14/x
  3. Step 3: Cross multiply
    4,590.81x = 6,886.22 × 1,471.14
  4. Step 4: Simplify right side
    4,590.81x = 10,130,586.34
  5. Step 5: Solve for x
    x = 10,130,586.34/4,590.81
  6. Step 6: Final answer
    x = 2,206.71

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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.