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Finding the Fourth Proportional to 5,489.70, 8,235.63 and 1,594.14

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Solution

The fourth proportional to 5,489.70, 8,235.63 and 1,594.14 is: 2,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.70 : 8,235.63 = 1,594.14 : x
  2. Step 2: Convert to fraction form
    5,489.70/8,235.63 = 1,594.14/x
  3. Step 3: Cross multiply
    5,489.70x = 8,235.63 × 1,594.14
  4. Step 4: Simplify right side
    5,489.70x = 13,128,747.21
  5. Step 5: Solve for x
    x = 13,128,747.21/5,489.70
  6. Step 6: Final answer
    x = 2,391.52

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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.