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Finding the Fourth Proportional to 4,761, 6,573.06 and 3,107.88

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Solution

The fourth proportional to 4,761, 6,573.06 and 3,107.88 is: 4,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761 : 6,573.06 = 3,107.88 : x
  2. Step 2: Convert to fraction form
    4,761/6,573.06 = 3,107.88/x
  3. Step 3: Cross multiply
    4,761x = 6,573.06 × 3,107.88
  4. Step 4: Simplify right side
    4,761x = 20,428,281.71
  5. Step 5: Solve for x
    x = 20,428,281.71/4,761
  6. Step 6: Final answer
    x = 4,290.75

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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.