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Finding the Fourth Proportional to 4,304.21, 6,457.21 and 1,384.56

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Solution

The fourth proportional to 4,304.21, 6,457.21 and 1,384.56 is: 2,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.21 : 6,457.21 = 1,384.56 : x
  2. Step 2: Convert to fraction form
    4,304.21/6,457.21 = 1,384.56/x
  3. Step 3: Cross multiply
    4,304.21x = 6,457.21 × 1,384.56
  4. Step 4: Simplify right side
    4,304.21x = 8,940,391.22
  5. Step 5: Solve for x
    x = 8,940,391.22/4,304.21
  6. Step 6: Final answer
    x = 2,077.13

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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.