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Finding the Fourth Proportional to 5,947.20, 8,914.32 and 4,210.56

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Solution

The fourth proportional to 5,947.20, 8,914.32 and 4,210.56 is: 6,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.20 : 8,914.32 = 4,210.56 : x
  2. Step 2: Convert to fraction form
    5,947.20/8,914.32 = 4,210.56/x
  3. Step 3: Cross multiply
    5,947.20x = 8,914.32 × 4,210.56
  4. Step 4: Simplify right side
    5,947.20x = 37,534,279.22
  5. Step 5: Solve for x
    x = 37,534,279.22/5,947.20
  6. Step 6: Final answer
    x = 6,311.25

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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.