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Finding the Fourth Proportional to 4,609.36, 6,914.16 and 1,837.32

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Solution

The fourth proportional to 4,609.36, 6,914.16 and 1,837.32 is: 2,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.36 : 6,914.16 = 1,837.32 : x
  2. Step 2: Convert to fraction form
    4,609.36/6,914.16 = 1,837.32/x
  3. Step 3: Cross multiply
    4,609.36x = 6,914.16 × 1,837.32
  4. Step 4: Simplify right side
    4,609.36x = 12,703,524.45
  5. Step 5: Solve for x
    x = 12,703,524.45/4,609.36
  6. Step 6: Final answer
    x = 2,756.03

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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.