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Finding the Fourth Proportional to 4,116.75, 5,681.21 and 2,253.75

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Solution

The fourth proportional to 4,116.75, 5,681.21 and 2,253.75 is: 3,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.75 : 5,681.21 = 2,253.75 : x
  2. Step 2: Convert to fraction form
    4,116.75/5,681.21 = 2,253.75/x
  3. Step 3: Cross multiply
    4,116.75x = 5,681.21 × 2,253.75
  4. Step 4: Simplify right side
    4,116.75x = 12,804,015.77
  5. Step 5: Solve for x
    x = 12,804,015.77/4,116.75
  6. Step 6: Final answer
    x = 3,110.22

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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.