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Finding the Fourth Proportional to 4,116.84, 5,643.11 and 4,061.46

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Solution

The fourth proportional to 4,116.84, 5,643.11 and 4,061.46 is: 5,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.84 : 5,643.11 = 4,061.46 : x
  2. Step 2: Convert to fraction form
    4,116.84/5,643.11 = 4,061.46/x
  3. Step 3: Cross multiply
    4,116.84x = 5,643.11 × 4,061.46
  4. Step 4: Simplify right side
    4,116.84x = 22,919,245.23
  5. Step 5: Solve for x
    x = 22,919,245.23/4,116.84
  6. Step 6: Final answer
    x = 5,567.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.