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Finding the Fourth Proportional to 3,482.44, 4,804.24 and 2,084.38

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Solution

The fourth proportional to 3,482.44, 4,804.24 and 2,084.38 is: 2,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.44 : 4,804.24 = 2,084.38 : x
  2. Step 2: Convert to fraction form
    3,482.44/4,804.24 = 2,084.38/x
  3. Step 3: Cross multiply
    3,482.44x = 4,804.24 × 2,084.38
  4. Step 4: Simplify right side
    3,482.44x = 10,013,861.77
  5. Step 5: Solve for x
    x = 10,013,861.77/3,482.44
  6. Step 6: Final answer
    x = 2,875.53

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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.