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Finding the Fourth Proportional to 4,137.88, 5,710.02 and 2,369.08

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Solution

The fourth proportional to 4,137.88, 5,710.02 and 2,369.08 is: 3,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.88 : 5,710.02 = 2,369.08 : x
  2. Step 2: Convert to fraction form
    4,137.88/5,710.02 = 2,369.08/x
  3. Step 3: Cross multiply
    4,137.88x = 5,710.02 × 2,369.08
  4. Step 4: Simplify right side
    4,137.88x = 13,527,494.18
  5. Step 5: Solve for x
    x = 13,527,494.18/4,137.88
  6. Step 6: Final answer
    x = 3,269.18

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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.