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Finding the Fourth Proportional to 3,102.48, 4,276.44 and 2,848.14

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Solution

The fourth proportional to 3,102.48, 4,276.44 and 2,848.14 is: 3,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.48 : 4,276.44 = 2,848.14 : x
  2. Step 2: Convert to fraction form
    3,102.48/4,276.44 = 2,848.14/x
  3. Step 3: Cross multiply
    3,102.48x = 4,276.44 × 2,848.14
  4. Step 4: Simplify right side
    3,102.48x = 12,179,899.82
  5. Step 5: Solve for x
    x = 12,179,899.82/3,102.48
  6. Step 6: Final answer
    x = 3,925.86

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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.