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Finding the Fourth Proportional to 3,485.64, 4,809.14 and 2,139.87

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Solution

The fourth proportional to 3,485.64, 4,809.14 and 2,139.87 is: 2,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.64 : 4,809.14 = 2,139.87 : x
  2. Step 2: Convert to fraction form
    3,485.64/4,809.14 = 2,139.87/x
  3. Step 3: Cross multiply
    3,485.64x = 4,809.14 × 2,139.87
  4. Step 4: Simplify right side
    3,485.64x = 10,290,923.71
  5. Step 5: Solve for x
    x = 10,290,923.71/3,485.64
  6. Step 6: Final answer
    x = 2,952.38

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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.