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Finding the Fourth Proportional to 3,164.08, 4,742.01 and 1,313.08

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Solution

The fourth proportional to 3,164.08, 4,742.01 and 1,313.08 is: 1,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.08 : 4,742.01 = 1,313.08 : x
  2. Step 2: Convert to fraction form
    3,164.08/4,742.01 = 1,313.08/x
  3. Step 3: Cross multiply
    3,164.08x = 4,742.01 × 1,313.08
  4. Step 4: Simplify right side
    3,164.08x = 6,226,638.49
  5. Step 5: Solve for x
    x = 6,226,638.49/3,164.08
  6. Step 6: Final answer
    x = 1,967.91

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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.