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Finding the Fourth Proportional to 3,668.19, 5,503.31 and 1,204.74

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Solution

The fourth proportional to 3,668.19, 5,503.31 and 1,204.74 is: 1,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.19 : 5,503.31 = 1,204.74 : x
  2. Step 2: Convert to fraction form
    3,668.19/5,503.31 = 1,204.74/x
  3. Step 3: Cross multiply
    3,668.19x = 5,503.31 × 1,204.74
  4. Step 4: Simplify right side
    3,668.19x = 6,630,060.70
  5. Step 5: Solve for x
    x = 6,630,060.70/3,668.19
  6. Step 6: Final answer
    x = 1,807.45

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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.