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Finding the Fourth Proportional to 6,064.43, 8,368.86 and 3,411.77

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Solution

The fourth proportional to 6,064.43, 8,368.86 and 3,411.77 is: 4,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.43 : 8,368.86 = 3,411.77 : x
  2. Step 2: Convert to fraction form
    6,064.43/8,368.86 = 3,411.77/x
  3. Step 3: Cross multiply
    6,064.43x = 8,368.86 × 3,411.77
  4. Step 4: Simplify right side
    6,064.43x = 28,552,583.64
  5. Step 5: Solve for x
    x = 28,552,583.64/6,064.43
  6. Step 6: Final answer
    x = 4,708.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.