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Finding the Fourth Proportional to 4,853.50, 7,279.63 and 1,566.25

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Solution

The fourth proportional to 4,853.50, 7,279.63 and 1,566.25 is: 2,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.50 : 7,279.63 = 1,566.25 : x
  2. Step 2: Convert to fraction form
    4,853.50/7,279.63 = 1,566.25/x
  3. Step 3: Cross multiply
    4,853.50x = 7,279.63 × 1,566.25
  4. Step 4: Simplify right side
    4,853.50x = 11,401,720.49
  5. Step 5: Solve for x
    x = 11,401,720.49/4,853.50
  6. Step 6: Final answer
    x = 2,349.17

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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.