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Finding the Fourth Proportional to 3,656.84, 5,485.20 and 1,578.30

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Solution

The fourth proportional to 3,656.84, 5,485.20 and 1,578.30 is: 2,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.84 : 5,485.20 = 1,578.30 : x
  2. Step 2: Convert to fraction form
    3,656.84/5,485.20 = 1,578.30/x
  3. Step 3: Cross multiply
    3,656.84x = 5,485.20 × 1,578.30
  4. Step 4: Simplify right side
    3,656.84x = 8,657,291.16
  5. Step 5: Solve for x
    x = 8,657,291.16/3,656.84
  6. Step 6: Final answer
    x = 2,367.43

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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.