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Finding the Fourth Proportional to 4,686.06, 7,027.03 and 1,762.31

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Solution

The fourth proportional to 4,686.06, 7,027.03 and 1,762.31 is: 2,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.06 : 7,027.03 = 1,762.31 : x
  2. Step 2: Convert to fraction form
    4,686.06/7,027.03 = 1,762.31/x
  3. Step 3: Cross multiply
    4,686.06x = 7,027.03 × 1,762.31
  4. Step 4: Simplify right side
    4,686.06x = 12,383,825.01
  5. Step 5: Solve for x
    x = 12,383,825.01/4,686.06
  6. Step 6: Final answer
    x = 2,642.69

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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.