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Finding the Fourth Proportional to 3,703.40, 5,556.04 and 1,106.36

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Solution

The fourth proportional to 3,703.40, 5,556.04 and 1,106.36 is: 1,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.40 : 5,556.04 = 1,106.36 : x
  2. Step 2: Convert to fraction form
    3,703.40/5,556.04 = 1,106.36/x
  3. Step 3: Cross multiply
    3,703.40x = 5,556.04 × 1,106.36
  4. Step 4: Simplify right side
    3,703.40x = 6,146,980.41
  5. Step 5: Solve for x
    x = 6,146,980.41/3,703.40
  6. Step 6: Final answer
    x = 1,659.82

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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.