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Finding the Fourth Proportional to 4,806.38, 6,633 and 2,710.50

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Solution

The fourth proportional to 4,806.38, 6,633 and 2,710.50 is: 3,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.38 : 6,633 = 2,710.50 : x
  2. Step 2: Convert to fraction form
    4,806.38/6,633 = 2,710.50/x
  3. Step 3: Cross multiply
    4,806.38x = 6,633 × 2,710.50
  4. Step 4: Simplify right side
    4,806.38x = 17,978,746.50
  5. Step 5: Solve for x
    x = 17,978,746.50/4,806.38
  6. Step 6: Final answer
    x = 3,740.60

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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.