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Finding the Fourth Proportional to 4,117.34, 5,643.82 and 4,061.96

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Solution

The fourth proportional to 4,117.34, 5,643.82 and 4,061.96 is: 5,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.34 : 5,643.82 = 4,061.96 : x
  2. Step 2: Convert to fraction form
    4,117.34/5,643.82 = 4,061.96/x
  3. Step 3: Cross multiply
    4,117.34x = 5,643.82 × 4,061.96
  4. Step 4: Simplify right side
    4,117.34x = 22,924,971.09
  5. Step 5: Solve for x
    x = 22,924,971.09/4,117.34
  6. Step 6: Final answer
    x = 5,567.91

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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.