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Finding the Fourth Proportional to 3,568.64, 4,927.13 and 2,224.77

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Solution

The fourth proportional to 3,568.64, 4,927.13 and 2,224.77 is: 3,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.64 : 4,927.13 = 2,224.77 : x
  2. Step 2: Convert to fraction form
    3,568.64/4,927.13 = 2,224.77/x
  3. Step 3: Cross multiply
    3,568.64x = 4,927.13 × 2,224.77
  4. Step 4: Simplify right side
    3,568.64x = 10,961,719.89
  5. Step 5: Solve for x
    x = 10,961,719.89/3,568.64
  6. Step 6: Final answer
    x = 3,071.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.