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Finding the Fourth Proportional to 3,420.01, 5,126.96 and 1,341.50

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Solution

The fourth proportional to 3,420.01, 5,126.96 and 1,341.50 is: 2,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.01 : 5,126.96 = 1,341.50 : x
  2. Step 2: Convert to fraction form
    3,420.01/5,126.96 = 1,341.50/x
  3. Step 3: Cross multiply
    3,420.01x = 5,126.96 × 1,341.50
  4. Step 4: Simplify right side
    3,420.01x = 6,877,791.21
  5. Step 5: Solve for x
    x = 6,877,791.21/3,420.01
  6. Step 6: Final answer
    x = 2,011.05

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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.