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Finding the Fourth Proportional to 6,589.27, 9,088.71 and 4,035.84

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Solution

The fourth proportional to 6,589.27, 9,088.71 and 4,035.84 is: 5,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.27 : 9,088.71 = 4,035.84 : x
  2. Step 2: Convert to fraction form
    6,589.27/9,088.71 = 4,035.84/x
  3. Step 3: Cross multiply
    6,589.27x = 9,088.71 × 4,035.84
  4. Step 4: Simplify right side
    6,589.27x = 36,680,533.92
  5. Step 5: Solve for x
    x = 36,680,533.92/6,589.27
  6. Step 6: Final answer
    x = 5,566.71

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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.