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Finding the Fourth Proportional to 5,723.32, 8,604.12 and 4,567.84

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Solution

The fourth proportional to 5,723.32, 8,604.12 and 4,567.84 is: 6,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.32 : 8,604.12 = 4,567.84 : x
  2. Step 2: Convert to fraction form
    5,723.32/8,604.12 = 4,567.84/x
  3. Step 3: Cross multiply
    5,723.32x = 8,604.12 × 4,567.84
  4. Step 4: Simplify right side
    5,723.32x = 39,302,243.50
  5. Step 5: Solve for x
    x = 39,302,243.50/5,723.32
  6. Step 6: Final answer
    x = 6,867.04

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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.