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Finding the Fourth Proportional to 5,137.77, 7,701.19 and 2,670.11

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Solution

The fourth proportional to 5,137.77, 7,701.19 and 2,670.11 is: 4,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.77 : 7,701.19 = 2,670.11 : x
  2. Step 2: Convert to fraction form
    5,137.77/7,701.19 = 2,670.11/x
  3. Step 3: Cross multiply
    5,137.77x = 7,701.19 × 2,670.11
  4. Step 4: Simplify right side
    5,137.77x = 20,562,979.25
  5. Step 5: Solve for x
    x = 20,562,979.25/5,137.77
  6. Step 6: Final answer
    x = 4,002.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.