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Finding the Fourth Proportional to 5,786.59, 7,985.50 and 3,134.00

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Solution

The fourth proportional to 5,786.59, 7,985.50 and 3,134.00 is: 4,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.59 : 7,985.50 = 3,134.00 : x
  2. Step 2: Convert to fraction form
    5,786.59/7,985.50 = 3,134.00/x
  3. Step 3: Cross multiply
    5,786.59x = 7,985.50 × 3,134.00
  4. Step 4: Simplify right side
    5,786.59x = 25,026,509.24
  5. Step 5: Solve for x
    x = 25,026,509.24/5,786.59
  6. Step 6: Final answer
    x = 4,324.92

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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.