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Finding the Fourth Proportional to 5,872.32, 8,762.94 and 5,249.34

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Solution

The fourth proportional to 5,872.32, 8,762.94 and 5,249.34 is: 7,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.32 : 8,762.94 = 5,249.34 : x
  2. Step 2: Convert to fraction form
    5,872.32/8,762.94 = 5,249.34/x
  3. Step 3: Cross multiply
    5,872.32x = 8,762.94 × 5,249.34
  4. Step 4: Simplify right side
    5,872.32x = 45,999,651.46
  5. Step 5: Solve for x
    x = 45,999,651.46/5,872.32
  6. Step 6: Final answer
    x = 7,833.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.