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Finding the Fourth Proportional to 3,735.17, 5,154.67 and 2,056.64

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Solution

The fourth proportional to 3,735.17, 5,154.67 and 2,056.64 is: 2,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.17 : 5,154.67 = 2,056.64 : x
  2. Step 2: Convert to fraction form
    3,735.17/5,154.67 = 2,056.64/x
  3. Step 3: Cross multiply
    3,735.17x = 5,154.67 × 2,056.64
  4. Step 4: Simplify right side
    3,735.17x = 10,601,303.11
  5. Step 5: Solve for x
    x = 10,601,303.11/3,735.17
  6. Step 6: Final answer
    x = 2,838.24

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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.