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Finding the Fourth Proportional to 4,734, 6,533.15 and 2,638.13

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Solution

The fourth proportional to 4,734, 6,533.15 and 2,638.13 is: 3,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734 : 6,533.15 = 2,638.13 : x
  2. Step 2: Convert to fraction form
    4,734/6,533.15 = 2,638.13/x
  3. Step 3: Cross multiply
    4,734x = 6,533.15 × 2,638.13
  4. Step 4: Simplify right side
    4,734x = 17,235,253.15
  5. Step 5: Solve for x
    x = 17,235,253.15/4,734
  6. Step 6: Final answer
    x = 3,640.74

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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.