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Finding the Fourth Proportional to 5,823.86, 8,033.30 and 3,554.16

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Solution

The fourth proportional to 5,823.86, 8,033.30 and 3,554.16 is: 4,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.86 : 8,033.30 = 3,554.16 : x
  2. Step 2: Convert to fraction form
    5,823.86/8,033.30 = 3,554.16/x
  3. Step 3: Cross multiply
    5,823.86x = 8,033.30 × 3,554.16
  4. Step 4: Simplify right side
    5,823.86x = 28,551,615.76
  5. Step 5: Solve for x
    x = 28,551,615.76/5,823.86
  6. Step 6: Final answer
    x = 4,902.53

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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.