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Finding the Fourth Proportional to 3,435.08, 4,738.74 and 2,036.84

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Solution

The fourth proportional to 3,435.08, 4,738.74 and 2,036.84 is: 2,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.08 : 4,738.74 = 2,036.84 : x
  2. Step 2: Convert to fraction form
    3,435.08/4,738.74 = 2,036.84/x
  3. Step 3: Cross multiply
    3,435.08x = 4,738.74 × 2,036.84
  4. Step 4: Simplify right side
    3,435.08x = 9,652,055.18
  5. Step 5: Solve for x
    x = 9,652,055.18/3,435.08
  6. Step 6: Final answer
    x = 2,809.85

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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.