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Finding the Fourth Proportional to 6,117.88, 8,441.76 and 3,599.80

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Solution

The fourth proportional to 6,117.88, 8,441.76 and 3,599.80 is: 4,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.88 : 8,441.76 = 3,599.80 : x
  2. Step 2: Convert to fraction form
    6,117.88/8,441.76 = 3,599.80/x
  3. Step 3: Cross multiply
    6,117.88x = 8,441.76 × 3,599.80
  4. Step 4: Simplify right side
    6,117.88x = 30,388,647.65
  5. Step 5: Solve for x
    x = 30,388,647.65/6,117.88
  6. Step 6: Final answer
    x = 4,967.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.