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Finding the Fourth Proportional to 3,207.01, 4,811.02 and 1,358.13

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Solution

The fourth proportional to 3,207.01, 4,811.02 and 1,358.13 is: 2,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.01 : 4,811.02 = 1,358.13 : x
  2. Step 2: Convert to fraction form
    3,207.01/4,811.02 = 1,358.13/x
  3. Step 3: Cross multiply
    3,207.01x = 4,811.02 × 1,358.13
  4. Step 4: Simplify right side
    3,207.01x = 6,533,995.83
  5. Step 5: Solve for x
    x = 6,533,995.83/3,207.01
  6. Step 6: Final answer
    x = 2,037.41

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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.