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Finding the Fourth Proportional to 5,163.49, 7,746.32 and 2,565.01

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Solution

The fourth proportional to 5,163.49, 7,746.32 and 2,565.01 is: 3,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.49 : 7,746.32 = 2,565.01 : x
  2. Step 2: Convert to fraction form
    5,163.49/7,746.32 = 2,565.01/x
  3. Step 3: Cross multiply
    5,163.49x = 7,746.32 × 2,565.01
  4. Step 4: Simplify right side
    5,163.49x = 19,869,375.44
  5. Step 5: Solve for x
    x = 19,869,375.44/5,163.49
  6. Step 6: Final answer
    x = 3,848.05

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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.