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Finding the Fourth Proportional to 4,778.35, 7,166.33 and 1,699.63

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Solution

The fourth proportional to 4,778.35, 7,166.33 and 1,699.63 is: 2,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.35 : 7,166.33 = 1,699.63 : x
  2. Step 2: Convert to fraction form
    4,778.35/7,166.33 = 1,699.63/x
  3. Step 3: Cross multiply
    4,778.35x = 7,166.33 × 1,699.63
  4. Step 4: Simplify right side
    4,778.35x = 12,180,100.96
  5. Step 5: Solve for x
    x = 12,180,100.96/4,778.35
  6. Step 6: Final answer
    x = 2,549.02

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