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Finding the Fourth Proportional to 4,594.57, 6,892.04 and 1,633.34

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Solution

The fourth proportional to 4,594.57, 6,892.04 and 1,633.34 is: 2,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.57 : 6,892.04 = 1,633.34 : x
  2. Step 2: Convert to fraction form
    4,594.57/6,892.04 = 1,633.34/x
  3. Step 3: Cross multiply
    4,594.57x = 6,892.04 × 1,633.34
  4. Step 4: Simplify right side
    4,594.57x = 11,257,037.36
  5. Step 5: Solve for x
    x = 11,257,037.36/4,594.57
  6. Step 6: Final answer
    x = 2,450.07

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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.