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Finding the Fourth Proportional to 6,064.49, 8,368.92 and 3,411.90

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Solution

The fourth proportional to 6,064.49, 8,368.92 and 3,411.90 is: 4,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.49 : 8,368.92 = 3,411.90 : x
  2. Step 2: Convert to fraction form
    6,064.49/8,368.92 = 3,411.90/x
  3. Step 3: Cross multiply
    6,064.49x = 8,368.92 × 3,411.90
  4. Step 4: Simplify right side
    6,064.49x = 28,553,918.15
  5. Step 5: Solve for x
    x = 28,553,918.15/6,064.49
  6. Step 6: Final answer
    x = 4,708.38

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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.