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Finding the Fourth Proportional to 5,640.40, 8,460.36 and 2,353.80

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Solution

The fourth proportional to 5,640.40, 8,460.36 and 2,353.80 is: 3,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.40 : 8,460.36 = 2,353.80 : x
  2. Step 2: Convert to fraction form
    5,640.40/8,460.36 = 2,353.80/x
  3. Step 3: Cross multiply
    5,640.40x = 8,460.36 × 2,353.80
  4. Step 4: Simplify right side
    5,640.40x = 19,913,995.37
  5. Step 5: Solve for x
    x = 19,913,995.37/5,640.40
  6. Step 6: Final answer
    x = 3,530.60

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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.