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Finding the Fourth Proportional to 4,305.96, 5,942.52 and 2,417.76

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Solution

The fourth proportional to 4,305.96, 5,942.52 and 2,417.76 is: 3,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.96 : 5,942.52 = 2,417.76 : x
  2. Step 2: Convert to fraction form
    4,305.96/5,942.52 = 2,417.76/x
  3. Step 3: Cross multiply
    4,305.96x = 5,942.52 × 2,417.76
  4. Step 4: Simplify right side
    4,305.96x = 14,367,587.16
  5. Step 5: Solve for x
    x = 14,367,587.16/4,305.96
  6. Step 6: Final answer
    x = 3,336.67

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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.