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Finding the Fourth Proportional to 4,228.49, 6,342.74 and 1,764.47

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Solution

The fourth proportional to 4,228.49, 6,342.74 and 1,764.47 is: 2,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.49 : 6,342.74 = 1,764.47 : x
  2. Step 2: Convert to fraction form
    4,228.49/6,342.74 = 1,764.47/x
  3. Step 3: Cross multiply
    4,228.49x = 6,342.74 × 1,764.47
  4. Step 4: Simplify right side
    4,228.49x = 11,191,565.63
  5. Step 5: Solve for x
    x = 11,191,565.63/4,228.49
  6. Step 6: Final answer
    x = 2,646.71

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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.