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Finding the Fourth Proportional to 4,332.36, 5,978.26 and 2,653

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Solution

The fourth proportional to 4,332.36, 5,978.26 and 2,653 is: 3,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.36 : 5,978.26 = 2,653 : x
  2. Step 2: Convert to fraction form
    4,332.36/5,978.26 = 2,653/x
  3. Step 3: Cross multiply
    4,332.36x = 5,978.26 × 2,653
  4. Step 4: Simplify right side
    4,332.36x = 15,860,323.78
  5. Step 5: Solve for x
    x = 15,860,323.78/4,332.36
  6. Step 6: Final answer
    x = 3,660.90

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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.