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Finding the Fourth Proportional to 5,228.16, 7,844.28 and 2,304.41

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Solution

The fourth proportional to 5,228.16, 7,844.28 and 2,304.41 is: 3,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.16 : 7,844.28 = 2,304.41 : x
  2. Step 2: Convert to fraction form
    5,228.16/7,844.28 = 2,304.41/x
  3. Step 3: Cross multiply
    5,228.16x = 7,844.28 × 2,304.41
  4. Step 4: Simplify right side
    5,228.16x = 18,076,437.27
  5. Step 5: Solve for x
    x = 18,076,437.27/5,228.16
  6. Step 6: Final answer
    x = 3,457.51

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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.