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Finding the Fourth Proportional to 3,735, 5,154.42 and 2,056.32

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Solution

The fourth proportional to 3,735, 5,154.42 and 2,056.32 is: 2,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735 : 5,154.42 = 2,056.32 : x
  2. Step 2: Convert to fraction form
    3,735/5,154.42 = 2,056.32/x
  3. Step 3: Cross multiply
    3,735x = 5,154.42 × 2,056.32
  4. Step 4: Simplify right side
    3,735x = 10,599,136.93
  5. Step 5: Solve for x
    x = 10,599,136.93/3,735
  6. Step 6: Final answer
    x = 2,837.79

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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.