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Finding the Fourth Proportional to 5,704.76, 8,558.40 and 1,809.20

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Solution

The fourth proportional to 5,704.76, 8,558.40 and 1,809.20 is: 2,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.76 : 8,558.40 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    5,704.76/8,558.40 = 1,809.20/x
  3. Step 3: Cross multiply
    5,704.76x = 8,558.40 × 1,809.20
  4. Step 4: Simplify right side
    5,704.76x = 15,483,857.28
  5. Step 5: Solve for x
    x = 15,483,857.28/5,704.76
  6. Step 6: Final answer
    x = 2,714.20

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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.