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Finding the Fourth Proportional to 4,296.58, 6,435.74 and 2,446.74

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Solution

The fourth proportional to 4,296.58, 6,435.74 and 2,446.74 is: 3,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.58 : 6,435.74 = 2,446.74 : x
  2. Step 2: Convert to fraction form
    4,296.58/6,435.74 = 2,446.74/x
  3. Step 3: Cross multiply
    4,296.58x = 6,435.74 × 2,446.74
  4. Step 4: Simplify right side
    4,296.58x = 15,746,582.49
  5. Step 5: Solve for x
    x = 15,746,582.49/4,296.58
  6. Step 6: Final answer
    x = 3,664.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.