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Finding the Fourth Proportional to 3,446.40, 4,752 and 2,887.68

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Solution

The fourth proportional to 3,446.40, 4,752 and 2,887.68 is: 3,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.40 : 4,752 = 2,887.68 : x
  2. Step 2: Convert to fraction form
    3,446.40/4,752 = 2,887.68/x
  3. Step 3: Cross multiply
    3,446.40x = 4,752 × 2,887.68
  4. Step 4: Simplify right side
    3,446.40x = 13,722,255.36
  5. Step 5: Solve for x
    x = 13,722,255.36/3,446.40
  6. Step 6: Final answer
    x = 3,981.62

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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.