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Finding the Fourth Proportional to 5,741.19, 7,920.80 and 3,616.91

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Solution

The fourth proportional to 5,741.19, 7,920.80 and 3,616.91 is: 4,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.19 : 7,920.80 = 3,616.91 : x
  2. Step 2: Convert to fraction form
    5,741.19/7,920.80 = 3,616.91/x
  3. Step 3: Cross multiply
    5,741.19x = 7,920.80 × 3,616.91
  4. Step 4: Simplify right side
    5,741.19x = 28,648,822.45
  5. Step 5: Solve for x
    x = 28,648,822.45/5,741.19
  6. Step 6: Final answer
    x = 4,990.05

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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.