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Finding the Fourth Proportional to 4,039.64, 6,064.90 and 2,093.40

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Solution

The fourth proportional to 4,039.64, 6,064.90 and 2,093.40 is: 3,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.64 : 6,064.90 = 2,093.40 : x
  2. Step 2: Convert to fraction form
    4,039.64/6,064.90 = 2,093.40/x
  3. Step 3: Cross multiply
    4,039.64x = 6,064.90 × 2,093.40
  4. Step 4: Simplify right side
    4,039.64x = 12,696,261.66
  5. Step 5: Solve for x
    x = 12,696,261.66/4,039.64
  6. Step 6: Final answer
    x = 3,142.92

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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.