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Finding the Fourth Proportional to 3,739.34, 5,607.70 and 1,106.14

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Solution

The fourth proportional to 3,739.34, 5,607.70 and 1,106.14 is: 1,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.34 : 5,607.70 = 1,106.14 : x
  2. Step 2: Convert to fraction form
    3,739.34/5,607.70 = 1,106.14/x
  3. Step 3: Cross multiply
    3,739.34x = 5,607.70 × 1,106.14
  4. Step 4: Simplify right side
    3,739.34x = 6,202,901.28
  5. Step 5: Solve for x
    x = 6,202,901.28/3,739.34
  6. Step 6: Final answer
    x = 1,658.82

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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.