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Finding the Fourth Proportional to 4,606.95, 6,914.88 and 2,760.15

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Solution

The fourth proportional to 4,606.95, 6,914.88 and 2,760.15 is: 4,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.95 : 6,914.88 = 2,760.15 : x
  2. Step 2: Convert to fraction form
    4,606.95/6,914.88 = 2,760.15/x
  3. Step 3: Cross multiply
    4,606.95x = 6,914.88 × 2,760.15
  4. Step 4: Simplify right side
    4,606.95x = 19,086,106.03
  5. Step 5: Solve for x
    x = 19,086,106.03/4,606.95
  6. Step 6: Final answer
    x = 4,142.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.