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Finding the Fourth Proportional to 4,278.88, 5,905.44 and 2,416

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Solution

The fourth proportional to 4,278.88, 5,905.44 and 2,416 is: 3,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.88 : 5,905.44 = 2,416 : x
  2. Step 2: Convert to fraction form
    4,278.88/5,905.44 = 2,416/x
  3. Step 3: Cross multiply
    4,278.88x = 5,905.44 × 2,416
  4. Step 4: Simplify right side
    4,278.88x = 14,267,543.04
  5. Step 5: Solve for x
    x = 14,267,543.04/4,278.88
  6. Step 6: Final answer
    x = 3,334.41

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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.