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Finding the Fourth Proportional to 3,411.12, 4,707.38 and 1,919.03

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Solution

The fourth proportional to 3,411.12, 4,707.38 and 1,919.03 is: 2,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.12 : 4,707.38 = 1,919.03 : x
  2. Step 2: Convert to fraction form
    3,411.12/4,707.38 = 1,919.03/x
  3. Step 3: Cross multiply
    3,411.12x = 4,707.38 × 1,919.03
  4. Step 4: Simplify right side
    3,411.12x = 9,033,603.44
  5. Step 5: Solve for x
    x = 9,033,603.44/3,411.12
  6. Step 6: Final answer
    x = 2,648.28

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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.