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Finding the Fourth Proportional to 5,653.92, 7,803.16 and 3,531.62

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Solution

The fourth proportional to 5,653.92, 7,803.16 and 3,531.62 is: 4,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.92 : 7,803.16 = 3,531.62 : x
  2. Step 2: Convert to fraction form
    5,653.92/7,803.16 = 3,531.62/x
  3. Step 3: Cross multiply
    5,653.92x = 7,803.16 × 3,531.62
  4. Step 4: Simplify right side
    5,653.92x = 27,557,795.92
  5. Step 5: Solve for x
    x = 27,557,795.92/5,653.92
  6. Step 6: Final answer
    x = 4,874.10

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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.