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Finding the Fourth Proportional to 4,664.40, 6,990.39 and 1,739.76

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Solution

The fourth proportional to 4,664.40, 6,990.39 and 1,739.76 is: 2,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.40 : 6,990.39 = 1,739.76 : x
  2. Step 2: Convert to fraction form
    4,664.40/6,990.39 = 1,739.76/x
  3. Step 3: Cross multiply
    4,664.40x = 6,990.39 × 1,739.76
  4. Step 4: Simplify right side
    4,664.40x = 12,161,600.91
  5. Step 5: Solve for x
    x = 12,161,600.91/4,664.40
  6. Step 6: Final answer
    x = 2,607.32

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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.