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Finding the Fourth Proportional to 5,704.02, 7,871.58 and 3,465.72

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Solution

The fourth proportional to 5,704.02, 7,871.58 and 3,465.72 is: 4,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.02 : 7,871.58 = 3,465.72 : x
  2. Step 2: Convert to fraction form
    5,704.02/7,871.58 = 3,465.72/x
  3. Step 3: Cross multiply
    5,704.02x = 7,871.58 × 3,465.72
  4. Step 4: Simplify right side
    5,704.02x = 27,280,692.24
  5. Step 5: Solve for x
    x = 27,280,692.24/5,704.02
  6. Step 6: Final answer
    x = 4,782.71

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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.