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Finding the Fourth Proportional to 4,562.96, 6,296.35 and 2,573.40

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Solution

The fourth proportional to 4,562.96, 6,296.35 and 2,573.40 is: 3,550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.96 : 6,296.35 = 2,573.40 : x
  2. Step 2: Convert to fraction form
    4,562.96/6,296.35 = 2,573.40/x
  3. Step 3: Cross multiply
    4,562.96x = 6,296.35 × 2,573.40
  4. Step 4: Simplify right side
    4,562.96x = 16,203,027.09
  5. Step 5: Solve for x
    x = 16,203,027.09/4,562.96
  6. Step 6: Final answer
    x = 3,550.99

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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.