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Finding the Fourth Proportional to 4,660.02, 6,430.05 and 2,797.02

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Solution

The fourth proportional to 4,660.02, 6,430.05 and 2,797.02 is: 3,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.02 : 6,430.05 = 2,797.02 : x
  2. Step 2: Convert to fraction form
    4,660.02/6,430.05 = 2,797.02/x
  3. Step 3: Cross multiply
    4,660.02x = 6,430.05 × 2,797.02
  4. Step 4: Simplify right side
    4,660.02x = 17,984,978.45
  5. Step 5: Solve for x
    x = 17,984,978.45/4,660.02
  6. Step 6: Final answer
    x = 3,859.42

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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.