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Finding the Fourth Proportional to 4,102.52, 5,659.36 and 2,776.72

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Solution

The fourth proportional to 4,102.52, 5,659.36 and 2,776.72 is: 3,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.52 : 5,659.36 = 2,776.72 : x
  2. Step 2: Convert to fraction form
    4,102.52/5,659.36 = 2,776.72/x
  3. Step 3: Cross multiply
    4,102.52x = 5,659.36 × 2,776.72
  4. Step 4: Simplify right side
    4,102.52x = 15,714,458.10
  5. Step 5: Solve for x
    x = 15,714,458.10/4,102.52
  6. Step 6: Final answer
    x = 3,830.44

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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.