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Finding the Fourth Proportional to 5,187.59, 7,782.52 and 1,900.71

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Solution

The fourth proportional to 5,187.59, 7,782.52 and 1,900.71 is: 2,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.59 : 7,782.52 = 1,900.71 : x
  2. Step 2: Convert to fraction form
    5,187.59/7,782.52 = 1,900.71/x
  3. Step 3: Cross multiply
    5,187.59x = 7,782.52 × 1,900.71
  4. Step 4: Simplify right side
    5,187.59x = 14,792,308.84
  5. Step 5: Solve for x
    x = 14,792,308.84/5,187.59
  6. Step 6: Final answer
    x = 2,851.48

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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.