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Finding the Fourth Proportional to 4,524.65, 6,786.98 and 1,237.77

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Solution

The fourth proportional to 4,524.65, 6,786.98 and 1,237.77 is: 1,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.65 : 6,786.98 = 1,237.77 : x
  2. Step 2: Convert to fraction form
    4,524.65/6,786.98 = 1,237.77/x
  3. Step 3: Cross multiply
    4,524.65x = 6,786.98 × 1,237.77
  4. Step 4: Simplify right side
    4,524.65x = 8,400,718.69
  5. Step 5: Solve for x
    x = 8,400,718.69/4,524.65
  6. Step 6: Final answer
    x = 1,856.66

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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.