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Finding the Fourth Proportional to 4,296.41, 5,928.96 and 2,407.98

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Solution

The fourth proportional to 4,296.41, 5,928.96 and 2,407.98 is: 3,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.41 : 5,928.96 = 2,407.98 : x
  2. Step 2: Convert to fraction form
    4,296.41/5,928.96 = 2,407.98/x
  3. Step 3: Cross multiply
    4,296.41x = 5,928.96 × 2,407.98
  4. Step 4: Simplify right side
    4,296.41x = 14,276,817.10
  5. Step 5: Solve for x
    x = 14,276,817.10/4,296.41
  6. Step 6: Final answer
    x = 3,322.97

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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.