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Finding the Fourth Proportional to 5,354.43, 8,032.56 and 1,606.45

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Solution

The fourth proportional to 5,354.43, 8,032.56 and 1,606.45 is: 2,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.43 : 8,032.56 = 1,606.45 : x
  2. Step 2: Convert to fraction form
    5,354.43/8,032.56 = 1,606.45/x
  3. Step 3: Cross multiply
    5,354.43x = 8,032.56 × 1,606.45
  4. Step 4: Simplify right side
    5,354.43x = 12,903,879.91
  5. Step 5: Solve for x
    x = 12,903,879.91/5,354.43
  6. Step 6: Final answer
    x = 2,409.94

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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.