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Finding the Fourth Proportional to 5,749.81, 8,630.76 and 5,095.87

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Solution

The fourth proportional to 5,749.81, 8,630.76 and 5,095.87 is: 7,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.81 : 8,630.76 = 5,095.87 : x
  2. Step 2: Convert to fraction form
    5,749.81/8,630.76 = 5,095.87/x
  3. Step 3: Cross multiply
    5,749.81x = 8,630.76 × 5,095.87
  4. Step 4: Simplify right side
    5,749.81x = 43,981,230.96
  5. Step 5: Solve for x
    x = 43,981,230.96/5,749.81
  6. Step 6: Final answer
    x = 7,649.16

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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.