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Finding the Fourth Proportional to 5,191.02, 7,780.86 and 1,901.34

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Solution

The fourth proportional to 5,191.02, 7,780.86 and 1,901.34 is: 2,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.02 : 7,780.86 = 1,901.34 : x
  2. Step 2: Convert to fraction form
    5,191.02/7,780.86 = 1,901.34/x
  3. Step 3: Cross multiply
    5,191.02x = 7,780.86 × 1,901.34
  4. Step 4: Simplify right side
    5,191.02x = 14,794,060.35
  5. Step 5: Solve for x
    x = 14,794,060.35/5,191.02
  6. Step 6: Final answer
    x = 2,849.93

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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.