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Finding the Fourth Proportional to 4,093.36, 6,137.04 and 1,459.46

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Solution

The fourth proportional to 4,093.36, 6,137.04 and 1,459.46 is: 2,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.36 : 6,137.04 = 1,459.46 : x
  2. Step 2: Convert to fraction form
    4,093.36/6,137.04 = 1,459.46/x
  3. Step 3: Cross multiply
    4,093.36x = 6,137.04 × 1,459.46
  4. Step 4: Simplify right side
    4,093.36x = 8,956,764.40
  5. Step 5: Solve for x
    x = 8,956,764.40/4,093.36
  6. Step 6: Final answer
    x = 2,188.12

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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.