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Finding the Fourth Proportional to 3,597.71, 4,964.48 and 2,654.01

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Solution

The fourth proportional to 3,597.71, 4,964.48 and 2,654.01 is: 3,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.71 : 4,964.48 = 2,654.01 : x
  2. Step 2: Convert to fraction form
    3,597.71/4,964.48 = 2,654.01/x
  3. Step 3: Cross multiply
    3,597.71x = 4,964.48 × 2,654.01
  4. Step 4: Simplify right side
    3,597.71x = 13,175,766.29
  5. Step 5: Solve for x
    x = 13,175,766.29/3,597.71
  6. Step 6: Final answer
    x = 3,662.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.