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Finding the Fourth Proportional to 4,296.86, 5,929.70 and 2,408.51

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Solution

The fourth proportional to 4,296.86, 5,929.70 and 2,408.51 is: 3,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.86 : 5,929.70 = 2,408.51 : x
  2. Step 2: Convert to fraction form
    4,296.86/5,929.70 = 2,408.51/x
  3. Step 3: Cross multiply
    4,296.86x = 5,929.70 × 2,408.51
  4. Step 4: Simplify right side
    4,296.86x = 14,281,741.75
  5. Step 5: Solve for x
    x = 14,281,741.75/4,296.86
  6. Step 6: Final answer
    x = 3,323.76

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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.