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Finding the Fourth Proportional to 5,521.42, 7,616.19 and 3,946.78

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Solution

The fourth proportional to 5,521.42, 7,616.19 and 3,946.78 is: 5,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521.42 : 7,616.19 = 3,946.78 : x
  2. Step 2: Convert to fraction form
    5,521.42/7,616.19 = 3,946.78/x
  3. Step 3: Cross multiply
    5,521.42x = 7,616.19 × 3,946.78
  4. Step 4: Simplify right side
    5,521.42x = 30,059,426.37
  5. Step 5: Solve for x
    x = 30,059,426.37/5,521.42
  6. Step 6: Final answer
    x = 5,444.15

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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.