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Finding the Fourth Proportional to 5,291.07, 7,937.83 and 1,780.99

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Solution

The fourth proportional to 5,291.07, 7,937.83 and 1,780.99 is: 2,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.07 : 7,937.83 = 1,780.99 : x
  2. Step 2: Convert to fraction form
    5,291.07/7,937.83 = 1,780.99/x
  3. Step 3: Cross multiply
    5,291.07x = 7,937.83 × 1,780.99
  4. Step 4: Simplify right side
    5,291.07x = 14,137,195.85
  5. Step 5: Solve for x
    x = 14,137,195.85/5,291.07
  6. Step 6: Final answer
    x = 2,671.90

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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.