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Finding the Fourth Proportional to 4,885.58, 7,328.82 and 1,766.36

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Solution

The fourth proportional to 4,885.58, 7,328.82 and 1,766.36 is: 2,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.58 : 7,328.82 = 1,766.36 : x
  2. Step 2: Convert to fraction form
    4,885.58/7,328.82 = 1,766.36/x
  3. Step 3: Cross multiply
    4,885.58x = 7,328.82 × 1,766.36
  4. Step 4: Simplify right side
    4,885.58x = 12,945,334.50
  5. Step 5: Solve for x
    x = 12,945,334.50/4,885.58
  6. Step 6: Final answer
    x = 2,649.70

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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.