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Finding the Fourth Proportional to 3,298.64, 4,958.13 and 2,210.00

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Solution

The fourth proportional to 3,298.64, 4,958.13 and 2,210.00 is: 3,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.64 : 4,958.13 = 2,210.00 : x
  2. Step 2: Convert to fraction form
    3,298.64/4,958.13 = 2,210.00/x
  3. Step 3: Cross multiply
    3,298.64x = 4,958.13 × 2,210.00
  4. Step 4: Simplify right side
    3,298.64x = 10,957,442.51
  5. Step 5: Solve for x
    x = 10,957,442.51/3,298.64
  6. Step 6: Final answer
    x = 3,321.81

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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.