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Finding the Fourth Proportional to 5,836.24, 8,040.32 and 4,064.64

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Solution

The fourth proportional to 5,836.24, 8,040.32 and 4,064.64 is: 5,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.24 : 8,040.32 = 4,064.64 : x
  2. Step 2: Convert to fraction form
    5,836.24/8,040.32 = 4,064.64/x
  3. Step 3: Cross multiply
    5,836.24x = 8,040.32 × 4,064.64
  4. Step 4: Simplify right side
    5,836.24x = 32,681,006.28
  5. Step 5: Solve for x
    x = 32,681,006.28/5,836.24
  6. Step 6: Final answer
    x = 5,599.67

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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.