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Finding the Fourth Proportional to 4,726.76, 7,098.44 and 4,027.52

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Solution

The fourth proportional to 4,726.76, 7,098.44 and 4,027.52 is: 6,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.76 : 7,098.44 = 4,027.52 : x
  2. Step 2: Convert to fraction form
    4,726.76/7,098.44 = 4,027.52/x
  3. Step 3: Cross multiply
    4,726.76x = 7,098.44 × 4,027.52
  4. Step 4: Simplify right side
    4,726.76x = 28,589,106.68
  5. Step 5: Solve for x
    x = 28,589,106.68/4,726.76
  6. Step 6: Final answer
    x = 6,048.36

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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.