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Finding the Fourth Proportional to 4,734.99, 6,533.82 and 2,746.08

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Solution

The fourth proportional to 4,734.99, 6,533.82 and 2,746.08 is: 3,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.99 : 6,533.82 = 2,746.08 : x
  2. Step 2: Convert to fraction form
    4,734.99/6,533.82 = 2,746.08/x
  3. Step 3: Cross multiply
    4,734.99x = 6,533.82 × 2,746.08
  4. Step 4: Simplify right side
    4,734.99x = 17,942,392.43
  5. Step 5: Solve for x
    x = 17,942,392.43/4,734.99
  6. Step 6: Final answer
    x = 3,789.32

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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.