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Finding the Fourth Proportional to 4,146.16, 6,221.12 and 1,549.28

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Solution

The fourth proportional to 4,146.16, 6,221.12 and 1,549.28 is: 2,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.16 : 6,221.12 = 1,549.28 : x
  2. Step 2: Convert to fraction form
    4,146.16/6,221.12 = 1,549.28/x
  3. Step 3: Cross multiply
    4,146.16x = 6,221.12 × 1,549.28
  4. Step 4: Simplify right side
    4,146.16x = 9,638,256.79
  5. Step 5: Solve for x
    x = 9,638,256.79/4,146.16
  6. Step 6: Final answer
    x = 2,324.62

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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.