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Finding the Fourth Proportional to 5,856.36, 8,080.98 and 3,498

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Solution

The fourth proportional to 5,856.36, 8,080.98 and 3,498 is: 4,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.36 : 8,080.98 = 3,498 : x
  2. Step 2: Convert to fraction form
    5,856.36/8,080.98 = 3,498/x
  3. Step 3: Cross multiply
    5,856.36x = 8,080.98 × 3,498
  4. Step 4: Simplify right side
    5,856.36x = 28,267,268.04
  5. Step 5: Solve for x
    x = 28,267,268.04/5,856.36
  6. Step 6: Final answer
    x = 4,826.76

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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.