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Finding the Fourth Proportional to 3,424.66, 4,726.48 and 2,542.98

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Solution

The fourth proportional to 3,424.66, 4,726.48 and 2,542.98 is: 3,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.66 : 4,726.48 = 2,542.98 : x
  2. Step 2: Convert to fraction form
    3,424.66/4,726.48 = 2,542.98/x
  3. Step 3: Cross multiply
    3,424.66x = 4,726.48 × 2,542.98
  4. Step 4: Simplify right side
    3,424.66x = 12,019,344.11
  5. Step 5: Solve for x
    x = 12,019,344.11/3,424.66
  6. Step 6: Final answer
    x = 3,509.65

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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.