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Finding the Fourth Proportional to 6,465.43, 8,922.28 and 3,670.93

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Solution

The fourth proportional to 6,465.43, 8,922.28 and 3,670.93 is: 5,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.43 : 8,922.28 = 3,670.93 : x
  2. Step 2: Convert to fraction form
    6,465.43/8,922.28 = 3,670.93/x
  3. Step 3: Cross multiply
    6,465.43x = 8,922.28 × 3,670.93
  4. Step 4: Simplify right side
    6,465.43x = 32,753,065.32
  5. Step 5: Solve for x
    x = 32,753,065.32/6,465.43
  6. Step 6: Final answer
    x = 5,065.88

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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.