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Finding the Fourth Proportional to 3,703.66, 5,555.52 and 1,106.60

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Solution

The fourth proportional to 3,703.66, 5,555.52 and 1,106.60 is: 1,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.66 : 5,555.52 = 1,106.60 : x
  2. Step 2: Convert to fraction form
    3,703.66/5,555.52 = 1,106.60/x
  3. Step 3: Cross multiply
    3,703.66x = 5,555.52 × 1,106.60
  4. Step 4: Simplify right side
    3,703.66x = 6,147,710.65
  5. Step 5: Solve for x
    x = 6,147,710.65/3,703.66
  6. Step 6: Final answer
    x = 1,659.90

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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.