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Finding the Fourth Proportional to 4,166.99, 5,754.75 and 3,604.76

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Solution

The fourth proportional to 4,166.99, 5,754.75 and 3,604.76 is: 4,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.99 : 5,754.75 = 3,604.76 : x
  2. Step 2: Convert to fraction form
    4,166.99/5,754.75 = 3,604.76/x
  3. Step 3: Cross multiply
    4,166.99x = 5,754.75 × 3,604.76
  4. Step 4: Simplify right side
    4,166.99x = 20,744,492.61
  5. Step 5: Solve for x
    x = 20,744,492.61/4,166.99
  6. Step 6: Final answer
    x = 4,978.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.