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Finding the Fourth Proportional to 6,588.86, 9,884.61 and 2,428.89

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Solution

The fourth proportional to 6,588.86, 9,884.61 and 2,428.89 is: 3,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.86 : 9,884.61 = 2,428.89 : x
  2. Step 2: Convert to fraction form
    6,588.86/9,884.61 = 2,428.89/x
  3. Step 3: Cross multiply
    6,588.86x = 9,884.61 × 2,428.89
  4. Step 4: Simplify right side
    6,588.86x = 24,008,639.49
  5. Step 5: Solve for x
    x = 24,008,639.49/6,588.86
  6. Step 6: Final answer
    x = 3,643.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.