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Finding the Fourth Proportional to 4,166.02, 5,747.70 and 2,594.02

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Solution

The fourth proportional to 4,166.02, 5,747.70 and 2,594.02 is: 3,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.02 : 5,747.70 = 2,594.02 : x
  2. Step 2: Convert to fraction form
    4,166.02/5,747.70 = 2,594.02/x
  3. Step 3: Cross multiply
    4,166.02x = 5,747.70 × 2,594.02
  4. Step 4: Simplify right side
    4,166.02x = 14,909,648.75
  5. Step 5: Solve for x
    x = 14,909,648.75/4,166.02
  6. Step 6: Final answer
    x = 3,578.87

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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.