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Finding the Fourth Proportional to 5,917.02, 8,200.01 and 5,833.50

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Solution

The fourth proportional to 5,917.02, 8,200.01 and 5,833.50 is: 8,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.02 : 8,200.01 = 5,833.50 : x
  2. Step 2: Convert to fraction form
    5,917.02/8,200.01 = 5,833.50/x
  3. Step 3: Cross multiply
    5,917.02x = 8,200.01 × 5,833.50
  4. Step 4: Simplify right side
    5,917.02x = 47,834,729.17
  5. Step 5: Solve for x
    x = 47,834,729.17/5,917.02
  6. Step 6: Final answer
    x = 8,084.26

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.