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Finding the Fourth Proportional to 5,117.64, 7,661.46 and 3,889.94

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Solution

The fourth proportional to 5,117.64, 7,661.46 and 3,889.94 is: 5,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.64 : 7,661.46 = 3,889.94 : x
  2. Step 2: Convert to fraction form
    5,117.64/7,661.46 = 3,889.94/x
  3. Step 3: Cross multiply
    5,117.64x = 7,661.46 × 3,889.94
  4. Step 4: Simplify right side
    5,117.64x = 29,802,619.71
  5. Step 5: Solve for x
    x = 29,802,619.71/5,117.64
  6. Step 6: Final answer
    x = 5,823.51

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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.