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Finding the Fourth Proportional to 6,588.78, 9,884.37 and 3,126

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Solution

The fourth proportional to 6,588.78, 9,884.37 and 3,126 is: 4,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.78 : 9,884.37 = 3,126 : x
  2. Step 2: Convert to fraction form
    6,588.78/9,884.37 = 3,126/x
  3. Step 3: Cross multiply
    6,588.78x = 9,884.37 × 3,126
  4. Step 4: Simplify right side
    6,588.78x = 30,898,540.62
  5. Step 5: Solve for x
    x = 30,898,540.62/6,588.78
  6. Step 6: Final answer
    x = 4,689.57

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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.