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Finding the Fourth Proportional to 5,146.49, 7,102.14 and 2,788.63

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Solution

The fourth proportional to 5,146.49, 7,102.14 and 2,788.63 is: 3,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.49 : 7,102.14 = 2,788.63 : x
  2. Step 2: Convert to fraction form
    5,146.49/7,102.14 = 2,788.63/x
  3. Step 3: Cross multiply
    5,146.49x = 7,102.14 × 2,788.63
  4. Step 4: Simplify right side
    5,146.49x = 19,805,198.19
  5. Step 5: Solve for x
    x = 19,805,198.19/5,146.49
  6. Step 6: Final answer
    x = 3,848.30

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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.