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Finding the Fourth Proportional to 5,756.94, 8,634.06 and 4,871.34

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Solution

The fourth proportional to 5,756.94, 8,634.06 and 4,871.34 is: 7,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.94 : 8,634.06 = 4,871.34 : x
  2. Step 2: Convert to fraction form
    5,756.94/8,634.06 = 4,871.34/x
  3. Step 3: Cross multiply
    5,756.94x = 8,634.06 × 4,871.34
  4. Step 4: Simplify right side
    5,756.94x = 42,059,441.84
  5. Step 5: Solve for x
    x = 42,059,441.84/5,756.94
  6. Step 6: Final answer
    x = 7,305.87

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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.