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Finding the Fourth Proportional to 4,703.67, 7,049.75 and 1,739.68

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Solution

The fourth proportional to 4,703.67, 7,049.75 and 1,739.68 is: 2,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.67 : 7,049.75 = 1,739.68 : x
  2. Step 2: Convert to fraction form
    4,703.67/7,049.75 = 1,739.68/x
  3. Step 3: Cross multiply
    4,703.67x = 7,049.75 × 1,739.68
  4. Step 4: Simplify right side
    4,703.67x = 12,264,292.54
  5. Step 5: Solve for x
    x = 12,264,292.54/4,703.67
  6. Step 6: Final answer
    x = 2,607.39

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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.