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Finding the Fourth Proportional to 4,168.48, 5,752.37 and 2,280

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Solution

The fourth proportional to 4,168.48, 5,752.37 and 2,280 is: 3,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.48 : 5,752.37 = 2,280 : x
  2. Step 2: Convert to fraction form
    4,168.48/5,752.37 = 2,280/x
  3. Step 3: Cross multiply
    4,168.48x = 5,752.37 × 2,280
  4. Step 4: Simplify right side
    4,168.48x = 13,115,403.60
  5. Step 5: Solve for x
    x = 13,115,403.60/4,168.48
  6. Step 6: Final answer
    x = 3,146.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.