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Finding the Fourth Proportional to 5,811.20, 8,707.20 and 4,947.20

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Solution

The fourth proportional to 5,811.20, 8,707.20 and 4,947.20 is: 7,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.20 : 8,707.20 = 4,947.20 : x
  2. Step 2: Convert to fraction form
    5,811.20/8,707.20 = 4,947.20/x
  3. Step 3: Cross multiply
    5,811.20x = 8,707.20 × 4,947.20
  4. Step 4: Simplify right side
    5,811.20x = 43,076,259.84
  5. Step 5: Solve for x
    x = 43,076,259.84/5,811.20
  6. Step 6: Final answer
    x = 7,412.63

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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.