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Finding the Fourth Proportional to 5,630.85, 8,446.86 and 1,735.56

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Solution

The fourth proportional to 5,630.85, 8,446.86 and 1,735.56 is: 2,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.85 : 8,446.86 = 1,735.56 : x
  2. Step 2: Convert to fraction form
    5,630.85/8,446.86 = 1,735.56/x
  3. Step 3: Cross multiply
    5,630.85x = 8,446.86 × 1,735.56
  4. Step 4: Simplify right side
    5,630.85x = 14,660,032.34
  5. Step 5: Solve for x
    x = 14,660,032.34/5,630.85
  6. Step 6: Final answer
    x = 2,603.52

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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.