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Finding the Fourth Proportional to 5,146.72, 7,102.44 and 2,788.84

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Solution

The fourth proportional to 5,146.72, 7,102.44 and 2,788.84 is: 3,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.72 : 7,102.44 = 2,788.84 : x
  2. Step 2: Convert to fraction form
    5,146.72/7,102.44 = 2,788.84/x
  3. Step 3: Cross multiply
    5,146.72x = 7,102.44 × 2,788.84
  4. Step 4: Simplify right side
    5,146.72x = 19,807,568.77
  5. Step 5: Solve for x
    x = 19,807,568.77/5,146.72
  6. Step 6: Final answer
    x = 3,848.58

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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.