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Finding the Fourth Proportional to 3,668.17, 5,488.59 and 2,188.19

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Solution

The fourth proportional to 3,668.17, 5,488.59 and 2,188.19 is: 3,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.17 : 5,488.59 = 2,188.19 : x
  2. Step 2: Convert to fraction form
    3,668.17/5,488.59 = 2,188.19/x
  3. Step 3: Cross multiply
    3,668.17x = 5,488.59 × 2,188.19
  4. Step 4: Simplify right side
    3,668.17x = 12,010,066.81
  5. Step 5: Solve for x
    x = 12,010,066.81/3,668.17
  6. Step 6: Final answer
    x = 3,274.13

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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.