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Finding the Fourth Proportional to 3,486.63, 4,809.38 and 2,160.39

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Solution

The fourth proportional to 3,486.63, 4,809.38 and 2,160.39 is: 2,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.63 : 4,809.38 = 2,160.39 : x
  2. Step 2: Convert to fraction form
    3,486.63/4,809.38 = 2,160.39/x
  3. Step 3: Cross multiply
    3,486.63x = 4,809.38 × 2,160.39
  4. Step 4: Simplify right side
    3,486.63x = 10,390,125.66
  5. Step 5: Solve for x
    x = 10,390,125.66/3,486.63
  6. Step 6: Final answer
    x = 2,979.99

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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.