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Finding the Fourth Proportional to 4,865, 6,714.90 and 2,770.36

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Solution

The fourth proportional to 4,865, 6,714.90 and 2,770.36 is: 3,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865 : 6,714.90 = 2,770.36 : x
  2. Step 2: Convert to fraction form
    4,865/6,714.90 = 2,770.36/x
  3. Step 3: Cross multiply
    4,865x = 6,714.90 × 2,770.36
  4. Step 4: Simplify right side
    4,865x = 18,602,690.36
  5. Step 5: Solve for x
    x = 18,602,690.36/4,865
  6. Step 6: Final answer
    x = 3,823.78

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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.