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Finding the Fourth Proportional to 6,064.61, 8,369.12 and 3,411.96

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Solution

The fourth proportional to 6,064.61, 8,369.12 and 3,411.96 is: 4,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.61 : 8,369.12 = 3,411.96 : x
  2. Step 2: Convert to fraction form
    6,064.61/8,369.12 = 3,411.96/x
  3. Step 3: Cross multiply
    6,064.61x = 8,369.12 × 3,411.96
  4. Step 4: Simplify right side
    6,064.61x = 28,555,079.82
  5. Step 5: Solve for x
    x = 28,555,079.82/6,064.61
  6. Step 6: Final answer
    x = 4,708.48

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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.