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Finding the Fourth Proportional to 5,564.84, 8,347.25 and 2,277.20

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Solution

The fourth proportional to 5,564.84, 8,347.25 and 2,277.20 is: 3,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.84 : 8,347.25 = 2,277.20 : x
  2. Step 2: Convert to fraction form
    5,564.84/8,347.25 = 2,277.20/x
  3. Step 3: Cross multiply
    5,564.84x = 8,347.25 × 2,277.20
  4. Step 4: Simplify right side
    5,564.84x = 19,008,321.66
  5. Step 5: Solve for x
    x = 19,008,321.66/5,564.84
  6. Step 6: Final answer
    x = 3,415.79

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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.