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Finding the Fourth Proportional to 3,346.66, 5,024.58 and 1,704.31

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Solution

The fourth proportional to 3,346.66, 5,024.58 and 1,704.31 is: 2,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.66 : 5,024.58 = 1,704.31 : x
  2. Step 2: Convert to fraction form
    3,346.66/5,024.58 = 1,704.31/x
  3. Step 3: Cross multiply
    3,346.66x = 5,024.58 × 1,704.31
  4. Step 4: Simplify right side
    3,346.66x = 8,563,416.82
  5. Step 5: Solve for x
    x = 8,563,416.82/3,346.66
  6. Step 6: Final answer
    x = 2,558.80

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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.