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Finding the Fourth Proportional to 5,654.34, 7,807.64 and 3,668.28

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Solution

The fourth proportional to 5,654.34, 7,807.64 and 3,668.28 is: 5,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.34 : 7,807.64 = 3,668.28 : x
  2. Step 2: Convert to fraction form
    5,654.34/7,807.64 = 3,668.28/x
  3. Step 3: Cross multiply
    5,654.34x = 7,807.64 × 3,668.28
  4. Step 4: Simplify right side
    5,654.34x = 28,640,609.66
  5. Step 5: Solve for x
    x = 28,640,609.66/5,654.34
  6. Step 6: Final answer
    x = 5,065.24

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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.