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Finding the Fourth Proportional to 3,486.32, 4,809.01 and 2,069.07

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Solution

The fourth proportional to 3,486.32, 4,809.01 and 2,069.07 is: 2,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.32 : 4,809.01 = 2,069.07 : x
  2. Step 2: Convert to fraction form
    3,486.32/4,809.01 = 2,069.07/x
  3. Step 3: Cross multiply
    3,486.32x = 4,809.01 × 2,069.07
  4. Step 4: Simplify right side
    3,486.32x = 9,950,178.32
  5. Step 5: Solve for x
    x = 9,950,178.32/3,486.32
  6. Step 6: Final answer
    x = 2,854.06

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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.