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Finding the Fourth Proportional to 5,189.07, 7,782.54 and 1,490.46

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Solution

The fourth proportional to 5,189.07, 7,782.54 and 1,490.46 is: 2,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.07 : 7,782.54 = 1,490.46 : x
  2. Step 2: Convert to fraction form
    5,189.07/7,782.54 = 1,490.46/x
  3. Step 3: Cross multiply
    5,189.07x = 7,782.54 × 1,490.46
  4. Step 4: Simplify right side
    5,189.07x = 11,599,564.57
  5. Step 5: Solve for x
    x = 11,599,564.57/5,189.07
  6. Step 6: Final answer
    x = 2,235.38

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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.