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Finding the Fourth Proportional to 4,602.28, 6,351.18 and 2,506.42

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Solution

The fourth proportional to 4,602.28, 6,351.18 and 2,506.42 is: 3,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.28 : 6,351.18 = 2,506.42 : x
  2. Step 2: Convert to fraction form
    4,602.28/6,351.18 = 2,506.42/x
  3. Step 3: Cross multiply
    4,602.28x = 6,351.18 × 2,506.42
  4. Step 4: Simplify right side
    4,602.28x = 15,918,724.58
  5. Step 5: Solve for x
    x = 15,918,724.58/4,602.28
  6. Step 6: Final answer
    x = 3,458.88

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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.