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Finding the Fourth Proportional to 6,355.84, 8,774.04 and 4,261.36

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Solution

The fourth proportional to 6,355.84, 8,774.04 and 4,261.36 is: 5,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.84 : 8,774.04 = 4,261.36 : x
  2. Step 2: Convert to fraction form
    6,355.84/8,774.04 = 4,261.36/x
  3. Step 3: Cross multiply
    6,355.84x = 8,774.04 × 4,261.36
  4. Step 4: Simplify right side
    6,355.84x = 37,389,343.09
  5. Step 5: Solve for x
    x = 37,389,343.09/6,355.84
  6. Step 6: Final answer
    x = 5,882.68

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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.