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Finding the Fourth Proportional to 6,262.84, 8,642.87 and 3,610.50

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Solution

The fourth proportional to 6,262.84, 8,642.87 and 3,610.50 is: 4,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.84 : 8,642.87 = 3,610.50 : x
  2. Step 2: Convert to fraction form
    6,262.84/8,642.87 = 3,610.50/x
  3. Step 3: Cross multiply
    6,262.84x = 8,642.87 × 3,610.50
  4. Step 4: Simplify right side
    6,262.84x = 31,205,082.14
  5. Step 5: Solve for x
    x = 31,205,082.14/6,262.84
  6. Step 6: Final answer
    x = 4,982.58

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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.