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Finding the Fourth Proportional to 4,597.81, 6,899.46 and 2,133.48

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Solution

The fourth proportional to 4,597.81, 6,899.46 and 2,133.48 is: 3,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.81 : 6,899.46 = 2,133.48 : x
  2. Step 2: Convert to fraction form
    4,597.81/6,899.46 = 2,133.48/x
  3. Step 3: Cross multiply
    4,597.81x = 6,899.46 × 2,133.48
  4. Step 4: Simplify right side
    4,597.81x = 14,719,859.92
  5. Step 5: Solve for x
    x = 14,719,859.92/4,597.81
  6. Step 6: Final answer
    x = 3,201.50

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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.