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Finding the Fourth Proportional to 4,296.34, 6,445.76 and 1,798.71

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Solution

The fourth proportional to 4,296.34, 6,445.76 and 1,798.71 is: 2,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.34 : 6,445.76 = 1,798.71 : x
  2. Step 2: Convert to fraction form
    4,296.34/6,445.76 = 1,798.71/x
  3. Step 3: Cross multiply
    4,296.34x = 6,445.76 × 1,798.71
  4. Step 4: Simplify right side
    4,296.34x = 11,594,052.97
  5. Step 5: Solve for x
    x = 11,594,052.97/4,296.34
  6. Step 6: Final answer
    x = 2,698.59

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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.