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Finding the Fourth Proportional to 5,977.13, 8,967.13 and 1,873.13

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Solution

The fourth proportional to 5,977.13, 8,967.13 and 1,873.13 is: 2,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.13 : 8,967.13 = 1,873.13 : x
  2. Step 2: Convert to fraction form
    5,977.13/8,967.13 = 1,873.13/x
  3. Step 3: Cross multiply
    5,977.13x = 8,967.13 × 1,873.13
  4. Step 4: Simplify right side
    5,977.13x = 16,796,550.70
  5. Step 5: Solve for x
    x = 16,796,550.70/5,977.13
  6. Step 6: Final answer
    x = 2,810.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.