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Finding the Fourth Proportional to 4,685.38, 6,465.76 and 2,695.95

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Solution

The fourth proportional to 4,685.38, 6,465.76 and 2,695.95 is: 3,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.38 : 6,465.76 = 2,695.95 : x
  2. Step 2: Convert to fraction form
    4,685.38/6,465.76 = 2,695.95/x
  3. Step 3: Cross multiply
    4,685.38x = 6,465.76 × 2,695.95
  4. Step 4: Simplify right side
    4,685.38x = 17,431,358.93
  5. Step 5: Solve for x
    x = 17,431,358.93/4,685.38
  6. Step 6: Final answer
    x = 3,720.37

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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.