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Finding the Fourth Proportional to 4,828.82, 7,242.62 and 4,012.34

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Solution

The fourth proportional to 4,828.82, 7,242.62 and 4,012.34 is: 6,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.82 : 7,242.62 = 4,012.34 : x
  2. Step 2: Convert to fraction form
    4,828.82/7,242.62 = 4,012.34/x
  3. Step 3: Cross multiply
    4,828.82x = 7,242.62 × 4,012.34
  4. Step 4: Simplify right side
    4,828.82x = 29,059,797.66
  5. Step 5: Solve for x
    x = 29,059,797.66/4,828.82
  6. Step 6: Final answer
    x = 6,018.00

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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.