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Finding the Fourth Proportional to 5,684.36, 8,526.39 and 1,524.36

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Solution

The fourth proportional to 5,684.36, 8,526.39 and 1,524.36 is: 2,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.36 : 8,526.39 = 1,524.36 : x
  2. Step 2: Convert to fraction form
    5,684.36/8,526.39 = 1,524.36/x
  3. Step 3: Cross multiply
    5,684.36x = 8,526.39 × 1,524.36
  4. Step 4: Simplify right side
    5,684.36x = 12,997,287.86
  5. Step 5: Solve for x
    x = 12,997,287.86/5,684.36
  6. Step 6: Final answer
    x = 2,286.50

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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.