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Finding the Fourth Proportional to 5,187.99, 7,783.07 and 1,901.15

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Solution

The fourth proportional to 5,187.99, 7,783.07 and 1,901.15 is: 2,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.99 : 7,783.07 = 1,901.15 : x
  2. Step 2: Convert to fraction form
    5,187.99/7,783.07 = 1,901.15/x
  3. Step 3: Cross multiply
    5,187.99x = 7,783.07 × 1,901.15
  4. Step 4: Simplify right side
    5,187.99x = 14,796,735.11
  5. Step 5: Solve for x
    x = 14,796,735.11/5,187.99
  6. Step 6: Final answer
    x = 2,852.11

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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.