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Finding the Fourth Proportional to 3,668.16, 5,503.14 and 1,071.08

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Solution

The fourth proportional to 3,668.16, 5,503.14 and 1,071.08 is: 1,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.16 : 5,503.14 = 1,071.08 : x
  2. Step 2: Convert to fraction form
    3,668.16/5,503.14 = 1,071.08/x
  3. Step 3: Cross multiply
    3,668.16x = 5,503.14 × 1,071.08
  4. Step 4: Simplify right side
    3,668.16x = 5,894,303.19
  5. Step 5: Solve for x
    x = 5,894,303.19/3,668.16
  6. Step 6: Final answer
    x = 1,606.88

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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.