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Finding the Fourth Proportional to 4,813.16, 7,215.42 and 1,733

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Solution

The fourth proportional to 4,813.16, 7,215.42 and 1,733 is: 2,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.16 : 7,215.42 = 1,733 : x
  2. Step 2: Convert to fraction form
    4,813.16/7,215.42 = 1,733/x
  3. Step 3: Cross multiply
    4,813.16x = 7,215.42 × 1,733
  4. Step 4: Simplify right side
    4,813.16x = 12,504,322.86
  5. Step 5: Solve for x
    x = 12,504,322.86/4,813.16
  6. Step 6: Final answer
    x = 2,597.94

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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.