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Finding the Fourth Proportional to 4,756.50, 7,132.32 and 2,786.00

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Solution

The fourth proportional to 4,756.50, 7,132.32 and 2,786.00 is: 4,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.50 : 7,132.32 = 2,786.00 : x
  2. Step 2: Convert to fraction form
    4,756.50/7,132.32 = 2,786.00/x
  3. Step 3: Cross multiply
    4,756.50x = 7,132.32 × 2,786.00
  4. Step 4: Simplify right side
    4,756.50x = 19,870,607.86
  5. Step 5: Solve for x
    x = 19,870,607.86/4,756.50
  6. Step 6: Final answer
    x = 4,177.57

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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.