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Finding the Fourth Proportional to 3,645.93, 5,464.29 and 1,980

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Solution

The fourth proportional to 3,645.93, 5,464.29 and 1,980 is: 2,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.93 : 5,464.29 = 1,980 : x
  2. Step 2: Convert to fraction form
    3,645.93/5,464.29 = 1,980/x
  3. Step 3: Cross multiply
    3,645.93x = 5,464.29 × 1,980
  4. Step 4: Simplify right side
    3,645.93x = 10,819,294.20
  5. Step 5: Solve for x
    x = 10,819,294.20/3,645.93
  6. Step 6: Final answer
    x = 2,967.50

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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.