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Finding the Fourth Proportional to 3,486.58, 4,809.91 and 2,070.33

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Solution

The fourth proportional to 3,486.58, 4,809.91 and 2,070.33 is: 2,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.58 : 4,809.91 = 2,070.33 : x
  2. Step 2: Convert to fraction form
    3,486.58/4,809.91 = 2,070.33/x
  3. Step 3: Cross multiply
    3,486.58x = 4,809.91 × 2,070.33
  4. Step 4: Simplify right side
    3,486.58x = 9,958,100.97
  5. Step 5: Solve for x
    x = 9,958,100.97/3,486.58
  6. Step 6: Final answer
    x = 2,856.12

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