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Finding the Fourth Proportional to 4,034.16, 6,051.24 and 1,401.48

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Solution

The fourth proportional to 4,034.16, 6,051.24 and 1,401.48 is: 2,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.16 : 6,051.24 = 1,401.48 : x
  2. Step 2: Convert to fraction form
    4,034.16/6,051.24 = 1,401.48/x
  3. Step 3: Cross multiply
    4,034.16x = 6,051.24 × 1,401.48
  4. Step 4: Simplify right side
    4,034.16x = 8,480,691.84
  5. Step 5: Solve for x
    x = 8,480,691.84/4,034.16
  6. Step 6: Final answer
    x = 2,102.22

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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.