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Finding the Fourth Proportional to 3,703.74, 5,555.37 and 1,106.70

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Solution

The fourth proportional to 3,703.74, 5,555.37 and 1,106.70 is: 1,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.74 : 5,555.37 = 1,106.70 : x
  2. Step 2: Convert to fraction form
    3,703.74/5,555.37 = 1,106.70/x
  3. Step 3: Cross multiply
    3,703.74x = 5,555.37 × 1,106.70
  4. Step 4: Simplify right side
    3,703.74x = 6,148,127.98
  5. Step 5: Solve for x
    x = 6,148,127.98/3,703.74
  6. Step 6: Final answer
    x = 1,659.98

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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.