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Finding the Fourth Proportional to 4,296.27, 5,929.26 and 2,407.84

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Solution

The fourth proportional to 4,296.27, 5,929.26 and 2,407.84 is: 3,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.27 : 5,929.26 = 2,407.84 : x
  2. Step 2: Convert to fraction form
    4,296.27/5,929.26 = 2,407.84/x
  3. Step 3: Cross multiply
    4,296.27x = 5,929.26 × 2,407.84
  4. Step 4: Simplify right side
    4,296.27x = 14,276,709.40
  5. Step 5: Solve for x
    x = 14,276,709.40/4,296.27
  6. Step 6: Final answer
    x = 3,323.05

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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.