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Finding the Fourth Proportional to 4,686.09, 7,027.43 and 1,398.07

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Solution

The fourth proportional to 4,686.09, 7,027.43 and 1,398.07 is: 2,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.09 : 7,027.43 = 1,398.07 : x
  2. Step 2: Convert to fraction form
    4,686.09/7,027.43 = 1,398.07/x
  3. Step 3: Cross multiply
    4,686.09x = 7,027.43 × 1,398.07
  4. Step 4: Simplify right side
    4,686.09x = 9,824,840.85
  5. Step 5: Solve for x
    x = 9,824,840.85/4,686.09
  6. Step 6: Final answer
    x = 2,096.60

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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.