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Finding the Fourth Proportional to 4,662.24, 7,018.88 and 4,254.00

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Solution

The fourth proportional to 4,662.24, 7,018.88 and 4,254.00 is: 6,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.24 : 7,018.88 = 4,254.00 : x
  2. Step 2: Convert to fraction form
    4,662.24/7,018.88 = 4,254.00/x
  3. Step 3: Cross multiply
    4,662.24x = 7,018.88 × 4,254.00
  4. Step 4: Simplify right side
    4,662.24x = 29,858,287.34
  5. Step 5: Solve for x
    x = 29,858,287.34/4,662.24
  6. Step 6: Final answer
    x = 6,404.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.