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Finding the Fourth Proportional to 5,411.06, 8,108.34 and 4,017.86

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Solution

The fourth proportional to 5,411.06, 8,108.34 and 4,017.86 is: 6,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.06 : 8,108.34 = 4,017.86 : x
  2. Step 2: Convert to fraction form
    5,411.06/8,108.34 = 4,017.86/x
  3. Step 3: Cross multiply
    5,411.06x = 8,108.34 × 4,017.86
  4. Step 4: Simplify right side
    5,411.06x = 32,578,134.41
  5. Step 5: Solve for x
    x = 32,578,134.41/5,411.06
  6. Step 6: Final answer
    x = 6,020.66

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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.