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Finding the Fourth Proportional to 4,578.17, 6,866.58 and 1,766.28

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Solution

The fourth proportional to 4,578.17, 6,866.58 and 1,766.28 is: 2,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.17 : 6,866.58 = 1,766.28 : x
  2. Step 2: Convert to fraction form
    4,578.17/6,866.58 = 1,766.28/x
  3. Step 3: Cross multiply
    4,578.17x = 6,866.58 × 1,766.28
  4. Step 4: Simplify right side
    4,578.17x = 12,128,302.92
  5. Step 5: Solve for x
    x = 12,128,302.92/4,578.17
  6. Step 6: Final answer
    x = 2,649.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.