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Finding the Fourth Proportional to 6,553.58, 9,044.00 and 3,569.44

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Solution

The fourth proportional to 6,553.58, 9,044.00 and 3,569.44 is: 4,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.58 : 9,044.00 = 3,569.44 : x
  2. Step 2: Convert to fraction form
    6,553.58/9,044.00 = 3,569.44/x
  3. Step 3: Cross multiply
    6,553.58x = 9,044.00 × 3,569.44
  4. Step 4: Simplify right side
    6,553.58x = 32,281,952.29
  5. Step 5: Solve for x
    x = 32,281,952.29/6,553.58
  6. Step 6: Final answer
    x = 4,925.85

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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.