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Finding the Fourth Proportional to 5,146.44, 7,102.09 and 2,788.58

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Solution

The fourth proportional to 5,146.44, 7,102.09 and 2,788.58 is: 3,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.44 : 7,102.09 = 2,788.58 : x
  2. Step 2: Convert to fraction form
    5,146.44/7,102.09 = 2,788.58/x
  3. Step 3: Cross multiply
    5,146.44x = 7,102.09 × 2,788.58
  4. Step 4: Simplify right side
    5,146.44x = 19,804,727.42
  5. Step 5: Solve for x
    x = 19,804,727.42/5,146.44
  6. Step 6: Final answer
    x = 3,848.24

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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.