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Finding the Fourth Proportional to 4,279.50, 5,905.71 and 2,416.50

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Solution

The fourth proportional to 4,279.50, 5,905.71 and 2,416.50 is: 3,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.50 : 5,905.71 = 2,416.50 : x
  2. Step 2: Convert to fraction form
    4,279.50/5,905.71 = 2,416.50/x
  3. Step 3: Cross multiply
    4,279.50x = 5,905.71 × 2,416.50
  4. Step 4: Simplify right side
    4,279.50x = 14,271,148.22
  5. Step 5: Solve for x
    x = 14,271,148.22/4,279.50
  6. Step 6: Final answer
    x = 3,334.77

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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.