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Finding the Fourth Proportional to 6,448.05, 8,898.84 and 3,615.38

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Solution

The fourth proportional to 6,448.05, 8,898.84 and 3,615.38 is: 4,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.05 : 8,898.84 = 3,615.38 : x
  2. Step 2: Convert to fraction form
    6,448.05/8,898.84 = 3,615.38/x
  3. Step 3: Cross multiply
    6,448.05x = 8,898.84 × 3,615.38
  4. Step 4: Simplify right side
    6,448.05x = 32,172,643.67
  5. Step 5: Solve for x
    x = 32,172,643.67/6,448.05
  6. Step 6: Final answer
    x = 4,989.52

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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.