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Finding the Fourth Proportional to 3,668.66, 5,503.89 and 1,071.58

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Solution

The fourth proportional to 3,668.66, 5,503.89 and 1,071.58 is: 1,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.66 : 5,503.89 = 1,071.58 : x
  2. Step 2: Convert to fraction form
    3,668.66/5,503.89 = 1,071.58/x
  3. Step 3: Cross multiply
    3,668.66x = 5,503.89 × 1,071.58
  4. Step 4: Simplify right side
    3,668.66x = 5,897,858.45
  5. Step 5: Solve for x
    x = 5,897,858.45/3,668.66
  6. Step 6: Final answer
    x = 1,607.63

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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.