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Finding the Fourth Proportional to 4,166.02, 5,748.33 and 2,593

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Solution

The fourth proportional to 4,166.02, 5,748.33 and 2,593 is: 3,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.02 : 5,748.33 = 2,593 : x
  2. Step 2: Convert to fraction form
    4,166.02/5,748.33 = 2,593/x
  3. Step 3: Cross multiply
    4,166.02x = 5,748.33 × 2,593
  4. Step 4: Simplify right side
    4,166.02x = 14,905,419.69
  5. Step 5: Solve for x
    x = 14,905,419.69/4,166.02
  6. Step 6: Final answer
    x = 3,577.86

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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.