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Finding the Fourth Proportional to 4,886.14, 6,742.88 and 2,648

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Solution

The fourth proportional to 4,886.14, 6,742.88 and 2,648 is: 3,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.14 : 6,742.88 = 2,648 : x
  2. Step 2: Convert to fraction form
    4,886.14/6,742.88 = 2,648/x
  3. Step 3: Cross multiply
    4,886.14x = 6,742.88 × 2,648
  4. Step 4: Simplify right side
    4,886.14x = 17,855,146.24
  5. Step 5: Solve for x
    x = 17,855,146.24/4,886.14
  6. Step 6: Final answer
    x = 3,654.24

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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.