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Finding the Fourth Proportional to 3,668.18, 5,502.65 and 1,071.14

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Solution

The fourth proportional to 3,668.18, 5,502.65 and 1,071.14 is: 1,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.18 : 5,502.65 = 1,071.14 : x
  2. Step 2: Convert to fraction form
    3,668.18/5,502.65 = 1,071.14/x
  3. Step 3: Cross multiply
    3,668.18x = 5,502.65 × 1,071.14
  4. Step 4: Simplify right side
    3,668.18x = 5,894,075.65
  5. Step 5: Solve for x
    x = 5,894,075.65/3,668.18
  6. Step 6: Final answer
    x = 1,606.81

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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.