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Finding the Fourth Proportional to 5,888.48, 8,121.84 and 4,184.24

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Solution

The fourth proportional to 5,888.48, 8,121.84 and 4,184.24 is: 5,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.48 : 8,121.84 = 4,184.24 : x
  2. Step 2: Convert to fraction form
    5,888.48/8,121.84 = 4,184.24/x
  3. Step 3: Cross multiply
    5,888.48x = 8,121.84 × 4,184.24
  4. Step 4: Simplify right side
    5,888.48x = 33,983,727.80
  5. Step 5: Solve for x
    x = 33,983,727.80/5,888.48
  6. Step 6: Final answer
    x = 5,771.22

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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.