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Finding the Fourth Proportional to 5,188.34, 7,783.64 and 1,901.46

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Solution

The fourth proportional to 5,188.34, 7,783.64 and 1,901.46 is: 2,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.34 : 7,783.64 = 1,901.46 : x
  2. Step 2: Convert to fraction form
    5,188.34/7,783.64 = 1,901.46/x
  3. Step 3: Cross multiply
    5,188.34x = 7,783.64 × 1,901.46
  4. Step 4: Simplify right side
    5,188.34x = 14,800,270.61
  5. Step 5: Solve for x
    x = 14,800,270.61/5,188.34
  6. Step 6: Final answer
    x = 2,852.61

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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.