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Finding the Fourth Proportional to 5,630.10, 7,749.43 and 4,675.41

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Solution

The fourth proportional to 5,630.10, 7,749.43 and 4,675.41 is: 6,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.10 : 7,749.43 = 4,675.41 : x
  2. Step 2: Convert to fraction form
    5,630.10/7,749.43 = 4,675.41/x
  3. Step 3: Cross multiply
    5,630.10x = 7,749.43 × 4,675.41
  4. Step 4: Simplify right side
    5,630.10x = 36,231,762.52
  5. Step 5: Solve for x
    x = 36,231,762.52/5,630.10
  6. Step 6: Final answer
    x = 6,435.37

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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.