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Finding the Fourth Proportional to 4,802.72, 7,199.09 and 2,027.08

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Solution

The fourth proportional to 4,802.72, 7,199.09 and 2,027.08 is: 3,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.72 : 7,199.09 = 2,027.08 : x
  2. Step 2: Convert to fraction form
    4,802.72/7,199.09 = 2,027.08/x
  3. Step 3: Cross multiply
    4,802.72x = 7,199.09 × 2,027.08
  4. Step 4: Simplify right side
    4,802.72x = 14,593,085.23
  5. Step 5: Solve for x
    x = 14,593,085.23/4,802.72
  6. Step 6: Final answer
    x = 3,038.50

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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.