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Finding the Fourth Proportional to 5,564.94, 8,347.41 and 4,463.88

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Solution

The fourth proportional to 5,564.94, 8,347.41 and 4,463.88 is: 6,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.94 : 8,347.41 = 4,463.88 : x
  2. Step 2: Convert to fraction form
    5,564.94/8,347.41 = 4,463.88/x
  3. Step 3: Cross multiply
    5,564.94x = 8,347.41 × 4,463.88
  4. Step 4: Simplify right side
    5,564.94x = 37,261,836.55
  5. Step 5: Solve for x
    x = 37,261,836.55/5,564.94
  6. Step 6: Final answer
    x = 6,695.82

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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.