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Finding the Fourth Proportional to 5,563.71, 7,683.13 and 3,577.72

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Solution

The fourth proportional to 5,563.71, 7,683.13 and 3,577.72 is: 4,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.71 : 7,683.13 = 3,577.72 : x
  2. Step 2: Convert to fraction form
    5,563.71/7,683.13 = 3,577.72/x
  3. Step 3: Cross multiply
    5,563.71x = 7,683.13 × 3,577.72
  4. Step 4: Simplify right side
    5,563.71x = 27,488,077.47
  5. Step 5: Solve for x
    x = 27,488,077.47/5,563.71
  6. Step 6: Final answer
    x = 4,940.60

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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.