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Finding the Fourth Proportional to 5,185.83, 7,780.70 and 1,901.17

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Solution

The fourth proportional to 5,185.83, 7,780.70 and 1,901.17 is: 2,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.83 : 7,780.70 = 1,901.17 : x
  2. Step 2: Convert to fraction form
    5,185.83/7,780.70 = 1,901.17/x
  3. Step 3: Cross multiply
    5,185.83x = 7,780.70 × 1,901.17
  4. Step 4: Simplify right side
    5,185.83x = 14,792,433.42
  5. Step 5: Solve for x
    x = 14,792,433.42/5,185.83
  6. Step 6: Final answer
    x = 2,852.47

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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.