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Finding the Fourth Proportional to 5,786.16, 8,691 and 5,108.19

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Solution

The fourth proportional to 5,786.16, 8,691 and 5,108.19 is: 7,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.16 : 8,691 = 5,108.19 : x
  2. Step 2: Convert to fraction form
    5,786.16/8,691 = 5,108.19/x
  3. Step 3: Cross multiply
    5,786.16x = 8,691 × 5,108.19
  4. Step 4: Simplify right side
    5,786.16x = 44,395,279.29
  5. Step 5: Solve for x
    x = 44,395,279.29/5,786.16
  6. Step 6: Final answer
    x = 7,672.67

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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.