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Finding the Fourth Proportional to 5,171.93, 7,758.03 and 1,887.47

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Solution

The fourth proportional to 5,171.93, 7,758.03 and 1,887.47 is: 2,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.93 : 7,758.03 = 1,887.47 : x
  2. Step 2: Convert to fraction form
    5,171.93/7,758.03 = 1,887.47/x
  3. Step 3: Cross multiply
    5,171.93x = 7,758.03 × 1,887.47
  4. Step 4: Simplify right side
    5,171.93x = 14,643,010.09
  5. Step 5: Solve for x
    x = 14,643,010.09/5,171.93
  6. Step 6: Final answer
    x = 2,831.25

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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.