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Finding the Fourth Proportional to 6,262.84, 8,642.82 and 3,468.40

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Solution

The fourth proportional to 6,262.84, 8,642.82 and 3,468.40 is: 4,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.84 : 8,642.82 = 3,468.40 : x
  2. Step 2: Convert to fraction form
    6,262.84/8,642.82 = 3,468.40/x
  3. Step 3: Cross multiply
    6,262.84x = 8,642.82 × 3,468.40
  4. Step 4: Simplify right side
    6,262.84x = 29,976,756.89
  5. Step 5: Solve for x
    x = 29,976,756.89/6,262.84
  6. Step 6: Final answer
    x = 4,786.45

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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.