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Finding the Fourth Proportional to 4,267.63, 6,401.10 and 1,494.01

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Solution

The fourth proportional to 4,267.63, 6,401.10 and 1,494.01 is: 2,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.63 : 6,401.10 = 1,494.01 : x
  2. Step 2: Convert to fraction form
    4,267.63/6,401.10 = 1,494.01/x
  3. Step 3: Cross multiply
    4,267.63x = 6,401.10 × 1,494.01
  4. Step 4: Simplify right side
    4,267.63x = 9,563,275.41
  5. Step 5: Solve for x
    x = 9,563,275.41/4,267.63
  6. Step 6: Final answer
    x = 2,240.89

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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.