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Finding the Fourth Proportional to 4,157.39, 5,737.14 and 2,269.00

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Solution

The fourth proportional to 4,157.39, 5,737.14 and 2,269.00 is: 3,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.39 : 5,737.14 = 2,269.00 : x
  2. Step 2: Convert to fraction form
    4,157.39/5,737.14 = 2,269.00/x
  3. Step 3: Cross multiply
    4,157.39x = 5,737.14 × 2,269.00
  4. Step 4: Simplify right side
    4,157.39x = 13,017,556.32
  5. Step 5: Solve for x
    x = 13,017,556.32/4,157.39
  6. Step 6: Final answer
    x = 3,131.19

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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.