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Finding the Fourth Proportional to 4,311.42, 5,946.15 and 2,652.54

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Solution

The fourth proportional to 4,311.42, 5,946.15 and 2,652.54 is: 3,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.42 : 5,946.15 = 2,652.54 : x
  2. Step 2: Convert to fraction form
    4,311.42/5,946.15 = 2,652.54/x
  3. Step 3: Cross multiply
    4,311.42x = 5,946.15 × 2,652.54
  4. Step 4: Simplify right side
    4,311.42x = 15,772,400.72
  5. Step 5: Solve for x
    x = 15,772,400.72/4,311.42
  6. Step 6: Final answer
    x = 3,658.28

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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.