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Finding the Fourth Proportional to 3,646.08, 5,471.55 and 1,698.48

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Solution

The fourth proportional to 3,646.08, 5,471.55 and 1,698.48 is: 2,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.08 : 5,471.55 = 1,698.48 : x
  2. Step 2: Convert to fraction form
    3,646.08/5,471.55 = 1,698.48/x
  3. Step 3: Cross multiply
    3,646.08x = 5,471.55 × 1,698.48
  4. Step 4: Simplify right side
    3,646.08x = 9,293,318.24
  5. Step 5: Solve for x
    x = 9,293,318.24/3,646.08
  6. Step 6: Final answer
    x = 2,548.85

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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.