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Finding the Fourth Proportional to 3,668.40, 5,497.20 and 3,117.60

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Solution

The fourth proportional to 3,668.40, 5,497.20 and 3,117.60 is: 4,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.40 : 5,497.20 = 3,117.60 : x
  2. Step 2: Convert to fraction form
    3,668.40/5,497.20 = 3,117.60/x
  3. Step 3: Cross multiply
    3,668.40x = 5,497.20 × 3,117.60
  4. Step 4: Simplify right side
    3,668.40x = 17,138,070.72
  5. Step 5: Solve for x
    x = 17,138,070.72/3,668.40
  6. Step 6: Final answer
    x = 4,671.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.