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Finding the Fourth Proportional to 4,707.70, 7,061.55 and 1,786.01

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Solution

The fourth proportional to 4,707.70, 7,061.55 and 1,786.01 is: 2,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.70 : 7,061.55 = 1,786.01 : x
  2. Step 2: Convert to fraction form
    4,707.70/7,061.55 = 1,786.01/x
  3. Step 3: Cross multiply
    4,707.70x = 7,061.55 × 1,786.01
  4. Step 4: Simplify right side
    4,707.70x = 12,611,998.92
  5. Step 5: Solve for x
    x = 12,611,998.92/4,707.70
  6. Step 6: Final answer
    x = 2,679.02

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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.