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Finding the Fourth Proportional to 3,368.98, 5,054.10 and 1,520.06

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Solution

The fourth proportional to 3,368.98, 5,054.10 and 1,520.06 is: 2,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.98 : 5,054.10 = 1,520.06 : x
  2. Step 2: Convert to fraction form
    3,368.98/5,054.10 = 1,520.06/x
  3. Step 3: Cross multiply
    3,368.98x = 5,054.10 × 1,520.06
  4. Step 4: Simplify right side
    3,368.98x = 7,682,535.25
  5. Step 5: Solve for x
    x = 7,682,535.25/3,368.98
  6. Step 6: Final answer
    x = 2,280.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.