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Finding the Fourth Proportional to 3,803.90, 5,706.77 and 1,206.86

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Solution

The fourth proportional to 3,803.90, 5,706.77 and 1,206.86 is: 1,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.90 : 5,706.77 = 1,206.86 : x
  2. Step 2: Convert to fraction form
    3,803.90/5,706.77 = 1,206.86/x
  3. Step 3: Cross multiply
    3,803.90x = 5,706.77 × 1,206.86
  4. Step 4: Simplify right side
    3,803.90x = 6,887,237.87
  5. Step 5: Solve for x
    x = 6,887,237.87/3,803.90
  6. Step 6: Final answer
    x = 1,810.58

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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.