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Finding the Fourth Proportional to 5,236.02, 7,852.02 and 2,114.94

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Solution

The fourth proportional to 5,236.02, 7,852.02 and 2,114.94 is: 3,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.02 : 7,852.02 = 2,114.94 : x
  2. Step 2: Convert to fraction form
    5,236.02/7,852.02 = 2,114.94/x
  3. Step 3: Cross multiply
    5,236.02x = 7,852.02 × 2,114.94
  4. Step 4: Simplify right side
    5,236.02x = 16,606,551.18
  5. Step 5: Solve for x
    x = 16,606,551.18/5,236.02
  6. Step 6: Final answer
    x = 3,171.60

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