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Finding the Fourth Proportional to 3,885.44, 5,798.07 and 3,470.11

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Solution

The fourth proportional to 3,885.44, 5,798.07 and 3,470.11 is: 5,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.44 : 5,798.07 = 3,470.11 : x
  2. Step 2: Convert to fraction form
    3,885.44/5,798.07 = 3,470.11/x
  3. Step 3: Cross multiply
    3,885.44x = 5,798.07 × 3,470.11
  4. Step 4: Simplify right side
    3,885.44x = 20,119,926.19
  5. Step 5: Solve for x
    x = 20,119,926.19/3,885.44
  6. Step 6: Final answer
    x = 5,178.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.