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Finding the Fourth Proportional to 5,140.77, 7,700.88 and 2,363.64

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Solution

The fourth proportional to 5,140.77, 7,700.88 and 2,363.64 is: 3,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.77 : 7,700.88 = 2,363.64 : x
  2. Step 2: Convert to fraction form
    5,140.77/7,700.88 = 2,363.64/x
  3. Step 3: Cross multiply
    5,140.77x = 7,700.88 × 2,363.64
  4. Step 4: Simplify right side
    5,140.77x = 18,202,108.00
  5. Step 5: Solve for x
    x = 18,202,108.00/5,140.77
  6. Step 6: Final answer
    x = 3,540.74

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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.