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Finding the Fourth Proportional to 3,507.86, 4,841.06 and 2,016

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Solution

The fourth proportional to 3,507.86, 4,841.06 and 2,016 is: 2,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.86 : 4,841.06 = 2,016 : x
  2. Step 2: Convert to fraction form
    3,507.86/4,841.06 = 2,016/x
  3. Step 3: Cross multiply
    3,507.86x = 4,841.06 × 2,016
  4. Step 4: Simplify right side
    3,507.86x = 9,759,582
  5. Step 5: Solve for x
    x = 9,759,582/3,507.86
  6. Step 6: Final answer
    x = 2,782.20

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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.