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Finding the Fourth Proportional to 3,138.65, 4,704.32 and 1,403.63

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Solution

The fourth proportional to 3,138.65, 4,704.32 and 1,403.63 is: 2,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.65 : 4,704.32 = 1,403.63 : x
  2. Step 2: Convert to fraction form
    3,138.65/4,704.32 = 1,403.63/x
  3. Step 3: Cross multiply
    3,138.65x = 4,704.32 × 1,403.63
  4. Step 4: Simplify right side
    3,138.65x = 6,603,094.14
  5. Step 5: Solve for x
    x = 6,603,094.14/3,138.65
  6. Step 6: Final answer
    x = 2,103.80

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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.