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Finding the Fourth Proportional to 3,482.97, 4,804.83 and 2,156.19

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Solution

The fourth proportional to 3,482.97, 4,804.83 and 2,156.19 is: 2,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.97 : 4,804.83 = 2,156.19 : x
  2. Step 2: Convert to fraction form
    3,482.97/4,804.83 = 2,156.19/x
  3. Step 3: Cross multiply
    3,482.97x = 4,804.83 × 2,156.19
  4. Step 4: Simplify right side
    3,482.97x = 10,360,126.40
  5. Step 5: Solve for x
    x = 10,360,126.40/3,482.97
  6. Step 6: Final answer
    x = 2,974.51

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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.