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Finding the Fourth Proportional to 6,446.98, 8,898.15 and 3,653.02

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Solution

The fourth proportional to 6,446.98, 8,898.15 and 3,653.02 is: 5,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.98 : 8,898.15 = 3,653.02 : x
  2. Step 2: Convert to fraction form
    6,446.98/8,898.15 = 3,653.02/x
  3. Step 3: Cross multiply
    6,446.98x = 8,898.15 × 3,653.02
  4. Step 4: Simplify right side
    6,446.98x = 32,505,119.91
  5. Step 5: Solve for x
    x = 32,505,119.91/6,446.98
  6. Step 6: Final answer
    x = 5,041.91

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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.