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Finding the Fourth Proportional to 3,809.47, 5,698.40 and 3,576.19

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Solution

The fourth proportional to 3,809.47, 5,698.40 and 3,576.19 is: 5,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.47 : 5,698.40 = 3,576.19 : x
  2. Step 2: Convert to fraction form
    3,809.47/5,698.40 = 3,576.19/x
  3. Step 3: Cross multiply
    3,809.47x = 5,698.40 × 3,576.19
  4. Step 4: Simplify right side
    3,809.47x = 20,378,561.10
  5. Step 5: Solve for x
    x = 20,378,561.10/3,809.47
  6. Step 6: Final answer
    x = 5,349.45

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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.