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Finding the Fourth Proportional to 5,623.68, 7,760.16 and 3,524.16

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Solution

The fourth proportional to 5,623.68, 7,760.16 and 3,524.16 is: 4,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.68 : 7,760.16 = 3,524.16 : x
  2. Step 2: Convert to fraction form
    5,623.68/7,760.16 = 3,524.16/x
  3. Step 3: Cross multiply
    5,623.68x = 7,760.16 × 3,524.16
  4. Step 4: Simplify right side
    5,623.68x = 27,348,045.47
  5. Step 5: Solve for x
    x = 27,348,045.47/5,623.68
  6. Step 6: Final answer
    x = 4,863.02

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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.