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Finding the Fourth Proportional to 3,668.34, 5,061.60 and 2,177.58

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Solution

The fourth proportional to 3,668.34, 5,061.60 and 2,177.58 is: 3,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.34 : 5,061.60 = 2,177.58 : x
  2. Step 2: Convert to fraction form
    3,668.34/5,061.60 = 2,177.58/x
  3. Step 3: Cross multiply
    3,668.34x = 5,061.60 × 2,177.58
  4. Step 4: Simplify right side
    3,668.34x = 11,022,038.93
  5. Step 5: Solve for x
    x = 11,022,038.93/3,668.34
  6. Step 6: Final answer
    x = 3,004.64

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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.