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Finding the Fourth Proportional to 4,264.14, 6,401.10 and 4,021.14

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Solution

The fourth proportional to 4,264.14, 6,401.10 and 4,021.14 is: 6,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.14 : 6,401.10 = 4,021.14 : x
  2. Step 2: Convert to fraction form
    4,264.14/6,401.10 = 4,021.14/x
  3. Step 3: Cross multiply
    4,264.14x = 6,401.10 × 4,021.14
  4. Step 4: Simplify right side
    4,264.14x = 25,739,719.25
  5. Step 5: Solve for x
    x = 25,739,719.25/4,264.14
  6. Step 6: Final answer
    x = 6,036.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.