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Finding the Fourth Proportional to 5,098.14, 7,649.94 and 4,726.35

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Solution

The fourth proportional to 5,098.14, 7,649.94 and 4,726.35 is: 7,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.14 : 7,649.94 = 4,726.35 : x
  2. Step 2: Convert to fraction form
    5,098.14/7,649.94 = 4,726.35/x
  3. Step 3: Cross multiply
    5,098.14x = 7,649.94 × 4,726.35
  4. Step 4: Simplify right side
    5,098.14x = 36,156,311.64
  5. Step 5: Solve for x
    x = 36,156,311.64/5,098.14
  6. Step 6: Final answer
    x = 7,092.06

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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.