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Finding the Fourth Proportional to 3,405.62, 4,698.41 and 2,077.04

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Solution

The fourth proportional to 3,405.62, 4,698.41 and 2,077.04 is: 2,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.62 : 4,698.41 = 2,077.04 : x
  2. Step 2: Convert to fraction form
    3,405.62/4,698.41 = 2,077.04/x
  3. Step 3: Cross multiply
    3,405.62x = 4,698.41 × 2,077.04
  4. Step 4: Simplify right side
    3,405.62x = 9,758,751.63
  5. Step 5: Solve for x
    x = 9,758,751.63/3,405.62
  6. Step 6: Final answer
    x = 2,865.49

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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.