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Finding the Fourth Proportional to 3,735.47, 5,154.80 and 2,056.79

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Solution

The fourth proportional to 3,735.47, 5,154.80 and 2,056.79 is: 2,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.47 : 5,154.80 = 2,056.79 : x
  2. Step 2: Convert to fraction form
    3,735.47/5,154.80 = 2,056.79/x
  3. Step 3: Cross multiply
    3,735.47x = 5,154.80 × 2,056.79
  4. Step 4: Simplify right side
    3,735.47x = 10,602,343.70
  5. Step 5: Solve for x
    x = 10,602,343.70/3,735.47
  6. Step 6: Final answer
    x = 2,838.29

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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.