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Finding the Fourth Proportional to 5,698.38, 8,548.47 and 2,411.49

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Solution

The fourth proportional to 5,698.38, 8,548.47 and 2,411.49 is: 3,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.38 : 8,548.47 = 2,411.49 : x
  2. Step 2: Convert to fraction form
    5,698.38/8,548.47 = 2,411.49/x
  3. Step 3: Cross multiply
    5,698.38x = 8,548.47 × 2,411.49
  4. Step 4: Simplify right side
    5,698.38x = 20,614,549.92
  5. Step 5: Solve for x
    x = 20,614,549.92/5,698.38
  6. Step 6: Final answer
    x = 3,617.62

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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.