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Finding the Fourth Proportional to 5,256.02, 7,883.46 and 1,745.84

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Solution

The fourth proportional to 5,256.02, 7,883.46 and 1,745.84 is: 2,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.02 : 7,883.46 = 1,745.84 : x
  2. Step 2: Convert to fraction form
    5,256.02/7,883.46 = 1,745.84/x
  3. Step 3: Cross multiply
    5,256.02x = 7,883.46 × 1,745.84
  4. Step 4: Simplify right side
    5,256.02x = 13,763,259.81
  5. Step 5: Solve for x
    x = 13,763,259.81/5,256.02
  6. Step 6: Final answer
    x = 2,618.57

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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.