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Finding the Fourth Proportional to 6,089.12, 9,133.68 and 3,486.50

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Solution

The fourth proportional to 6,089.12, 9,133.68 and 3,486.50 is: 5,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.12 : 9,133.68 = 3,486.50 : x
  2. Step 2: Convert to fraction form
    6,089.12/9,133.68 = 3,486.50/x
  3. Step 3: Cross multiply
    6,089.12x = 9,133.68 × 3,486.50
  4. Step 4: Simplify right side
    6,089.12x = 31,844,575.32
  5. Step 5: Solve for x
    x = 31,844,575.32/6,089.12
  6. Step 6: Final answer
    x = 5,229.75

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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.