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Finding the Fourth Proportional to 5,189.52, 7,783.14 and 1,490.93

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Solution

The fourth proportional to 5,189.52, 7,783.14 and 1,490.93 is: 2,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.52 : 7,783.14 = 1,490.93 : x
  2. Step 2: Convert to fraction form
    5,189.52/7,783.14 = 1,490.93/x
  3. Step 3: Cross multiply
    5,189.52x = 7,783.14 × 1,490.93
  4. Step 4: Simplify right side
    5,189.52x = 11,604,116.92
  5. Step 5: Solve for x
    x = 11,604,116.92/5,189.52
  6. Step 6: Final answer
    x = 2,236.07

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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.