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Finding the Fourth Proportional to 5,947.70, 8,210.49 and 4,277.30

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Solution

The fourth proportional to 5,947.70, 8,210.49 and 4,277.30 is: 5,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.70 : 8,210.49 = 4,277.30 : x
  2. Step 2: Convert to fraction form
    5,947.70/8,210.49 = 4,277.30/x
  3. Step 3: Cross multiply
    5,947.70x = 8,210.49 × 4,277.30
  4. Step 4: Simplify right side
    5,947.70x = 35,118,728.88
  5. Step 5: Solve for x
    x = 35,118,728.88/5,947.70
  6. Step 6: Final answer
    x = 5,904.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.