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Finding the Fourth Proportional to 3,520.38, 4,857.84 and 3,146.16

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Solution

The fourth proportional to 3,520.38, 4,857.84 and 3,146.16 is: 4,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.38 : 4,857.84 = 3,146.16 : x
  2. Step 2: Convert to fraction form
    3,520.38/4,857.84 = 3,146.16/x
  3. Step 3: Cross multiply
    3,520.38x = 4,857.84 × 3,146.16
  4. Step 4: Simplify right side
    3,520.38x = 15,283,541.89
  5. Step 5: Solve for x
    x = 15,283,541.89/3,520.38
  6. Step 6: Final answer
    x = 4,341.45

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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.