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Finding the Fourth Proportional to 5,146.31, 7,101.92 and 2,788.47

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Solution

The fourth proportional to 5,146.31, 7,101.92 and 2,788.47 is: 3,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.31 : 7,101.92 = 2,788.47 : x
  2. Step 2: Convert to fraction form
    5,146.31/7,101.92 = 2,788.47/x
  3. Step 3: Cross multiply
    5,146.31x = 7,101.92 × 2,788.47
  4. Step 4: Simplify right side
    5,146.31x = 19,803,497.83
  5. Step 5: Solve for x
    x = 19,803,497.83/5,146.31
  6. Step 6: Final answer
    x = 3,848.09

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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.