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Finding the Fourth Proportional to 4,028.01, 6,042.02 and 1,430.34

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Solution

The fourth proportional to 4,028.01, 6,042.02 and 1,430.34 is: 2,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028.01 : 6,042.02 = 1,430.34 : x
  2. Step 2: Convert to fraction form
    4,028.01/6,042.02 = 1,430.34/x
  3. Step 3: Cross multiply
    4,028.01x = 6,042.02 × 1,430.34
  4. Step 4: Simplify right side
    4,028.01x = 8,642,135.74
  5. Step 5: Solve for x
    x = 8,642,135.74/4,028.01
  6. Step 6: Final answer
    x = 2,145.51

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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.