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Finding the Fourth Proportional to 5,167.87, 7,129.16 and 3,070.51

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Solution

The fourth proportional to 5,167.87, 7,129.16 and 3,070.51 is: 4,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.87 : 7,129.16 = 3,070.51 : x
  2. Step 2: Convert to fraction form
    5,167.87/7,129.16 = 3,070.51/x
  3. Step 3: Cross multiply
    5,167.87x = 7,129.16 × 3,070.51
  4. Step 4: Simplify right side
    5,167.87x = 21,890,141.72
  5. Step 5: Solve for x
    x = 21,890,141.72/5,167.87
  6. Step 6: Final answer
    x = 4,235.82

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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.