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Finding the Fourth Proportional to 5,823.82, 8,032.75 and 5,630.95

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Solution

The fourth proportional to 5,823.82, 8,032.75 and 5,630.95 is: 7,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.82 : 8,032.75 = 5,630.95 : x
  2. Step 2: Convert to fraction form
    5,823.82/8,032.75 = 5,630.95/x
  3. Step 3: Cross multiply
    5,823.82x = 8,032.75 × 5,630.95
  4. Step 4: Simplify right side
    5,823.82x = 45,232,013.61
  5. Step 5: Solve for x
    x = 45,232,013.61/5,823.82
  6. Step 6: Final answer
    x = 7,766.73

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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.