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Finding the Fourth Proportional to 5,187.84, 7,781.73 and 1,490.10

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Solution

The fourth proportional to 5,187.84, 7,781.73 and 1,490.10 is: 2,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.84 : 7,781.73 = 1,490.10 : x
  2. Step 2: Convert to fraction form
    5,187.84/7,781.73 = 1,490.10/x
  3. Step 3: Cross multiply
    5,187.84x = 7,781.73 × 1,490.10
  4. Step 4: Simplify right side
    5,187.84x = 11,595,555.87
  5. Step 5: Solve for x
    x = 11,595,555.87/5,187.84
  6. Step 6: Final answer
    x = 2,235.14

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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.