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Finding the Fourth Proportional to 4,279, 5,905.02 and 2,416

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Solution

The fourth proportional to 4,279, 5,905.02 and 2,416 is: 3,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279 : 5,905.02 = 2,416 : x
  2. Step 2: Convert to fraction form
    4,279/5,905.02 = 2,416/x
  3. Step 3: Cross multiply
    4,279x = 5,905.02 × 2,416
  4. Step 4: Simplify right side
    4,279x = 14,266,528.32
  5. Step 5: Solve for x
    x = 14,266,528.32/4,279
  6. Step 6: Final answer
    x = 3,334.08

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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.