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Finding the Fourth Proportional to 5,534.86, 8,297.65 and 2,250.26

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Solution

The fourth proportional to 5,534.86, 8,297.65 and 2,250.26 is: 3,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.86 : 8,297.65 = 2,250.26 : x
  2. Step 2: Convert to fraction form
    5,534.86/8,297.65 = 2,250.26/x
  3. Step 3: Cross multiply
    5,534.86x = 8,297.65 × 2,250.26
  4. Step 4: Simplify right side
    5,534.86x = 18,671,869.89
  5. Step 5: Solve for x
    x = 18,671,869.89/5,534.86
  6. Step 6: Final answer
    x = 3,373.50

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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.