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Finding the Fourth Proportional to 5,672.35, 8,508.66 and 1,777.06

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Solution

The fourth proportional to 5,672.35, 8,508.66 and 1,777.06 is: 2,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.35 : 8,508.66 = 1,777.06 : x
  2. Step 2: Convert to fraction form
    5,672.35/8,508.66 = 1,777.06/x
  3. Step 3: Cross multiply
    5,672.35x = 8,508.66 × 1,777.06
  4. Step 4: Simplify right side
    5,672.35x = 15,120,399.34
  5. Step 5: Solve for x
    x = 15,120,399.34/5,672.35
  6. Step 6: Final answer
    x = 2,665.63

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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.