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Finding the Fourth Proportional to 5,883.93, 8,823.15 and 2,597.96

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Solution

The fourth proportional to 5,883.93, 8,823.15 and 2,597.96 is: 3,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.93 : 8,823.15 = 2,597.96 : x
  2. Step 2: Convert to fraction form
    5,883.93/8,823.15 = 2,597.96/x
  3. Step 3: Cross multiply
    5,883.93x = 8,823.15 × 2,597.96
  4. Step 4: Simplify right side
    5,883.93x = 22,922,146.66
  5. Step 5: Solve for x
    x = 22,922,146.66/5,883.93
  6. Step 6: Final answer
    x = 3,895.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.