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Finding the Fourth Proportional to 5,659.17, 8,485.64 and 3,029.76

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Solution

The fourth proportional to 5,659.17, 8,485.64 and 3,029.76 is: 4,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.17 : 8,485.64 = 3,029.76 : x
  2. Step 2: Convert to fraction form
    5,659.17/8,485.64 = 3,029.76/x
  3. Step 3: Cross multiply
    5,659.17x = 8,485.64 × 3,029.76
  4. Step 4: Simplify right side
    5,659.17x = 25,709,437.50
  5. Step 5: Solve for x
    x = 25,709,437.50/5,659.17
  6. Step 6: Final answer
    x = 4,542.97

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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.