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Finding the Fourth Proportional to 3,420.10, 4,716.49 and 2,482.10

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Solution

The fourth proportional to 3,420.10, 4,716.49 and 2,482.10 is: 3,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.10 : 4,716.49 = 2,482.10 : x
  2. Step 2: Convert to fraction form
    3,420.10/4,716.49 = 2,482.10/x
  3. Step 3: Cross multiply
    3,420.10x = 4,716.49 × 2,482.10
  4. Step 4: Simplify right side
    3,420.10x = 11,706,799.83
  5. Step 5: Solve for x
    x = 11,706,799.83/3,420.10
  6. Step 6: Final answer
    x = 3,422.94

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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.