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Finding the Fourth Proportional to 5,682.84, 7,832.75 and 4,353.63

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Solution

The fourth proportional to 5,682.84, 7,832.75 and 4,353.63 is: 6,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.84 : 7,832.75 = 4,353.63 : x
  2. Step 2: Convert to fraction form
    5,682.84/7,832.75 = 4,353.63/x
  3. Step 3: Cross multiply
    5,682.84x = 7,832.75 × 4,353.63
  4. Step 4: Simplify right side
    5,682.84x = 34,100,873.61
  5. Step 5: Solve for x
    x = 34,100,873.61/5,682.84
  6. Step 6: Final answer
    x = 6,000.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.