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Finding the Fourth Proportional to 5,963.12, 8,210.38 and 5,064.96

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Solution

The fourth proportional to 5,963.12, 8,210.38 and 5,064.96 is: 6,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.12 : 8,210.38 = 5,064.96 : x
  2. Step 2: Convert to fraction form
    5,963.12/8,210.38 = 5,064.96/x
  3. Step 3: Cross multiply
    5,963.12x = 8,210.38 × 5,064.96
  4. Step 4: Simplify right side
    5,963.12x = 41,585,246.28
  5. Step 5: Solve for x
    x = 41,585,246.28/5,963.12
  6. Step 6: Final answer
    x = 6,973.74

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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.