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Finding the Fourth Proportional to 6,169.76, 8,511.36 and 4,045.28

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Solution

The fourth proportional to 6,169.76, 8,511.36 and 4,045.28 is: 5,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.76 : 8,511.36 = 4,045.28 : x
  2. Step 2: Convert to fraction form
    6,169.76/8,511.36 = 4,045.28/x
  3. Step 3: Cross multiply
    6,169.76x = 8,511.36 × 4,045.28
  4. Step 4: Simplify right side
    6,169.76x = 34,430,834.38
  5. Step 5: Solve for x
    x = 34,430,834.38/6,169.76
  6. Step 6: Final answer
    x = 5,580.58

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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.