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Finding the Fourth Proportional to 4,596.21, 6,895.44 and 1,476.27

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Solution

The fourth proportional to 4,596.21, 6,895.44 and 1,476.27 is: 2,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.21 : 6,895.44 = 1,476.27 : x
  2. Step 2: Convert to fraction form
    4,596.21/6,895.44 = 1,476.27/x
  3. Step 3: Cross multiply
    4,596.21x = 6,895.44 × 1,476.27
  4. Step 4: Simplify right side
    4,596.21x = 10,179,531.21
  5. Step 5: Solve for x
    x = 10,179,531.21/4,596.21
  6. Step 6: Final answer
    x = 2,214.77

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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.