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Finding the Fourth Proportional to 3,728.64, 5,145.36 and 2,156.40

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Solution

The fourth proportional to 3,728.64, 5,145.36 and 2,156.40 is: 2,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.64 : 5,145.36 = 2,156.40 : x
  2. Step 2: Convert to fraction form
    3,728.64/5,145.36 = 2,156.40/x
  3. Step 3: Cross multiply
    3,728.64x = 5,145.36 × 2,156.40
  4. Step 4: Simplify right side
    3,728.64x = 11,095,454.30
  5. Step 5: Solve for x
    x = 11,095,454.30/3,728.64
  6. Step 6: Final answer
    x = 2,975.74

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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.