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Finding the Fourth Proportional to 4,686.54, 6,467.67 and 2,697.40

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Solution

The fourth proportional to 4,686.54, 6,467.67 and 2,697.40 is: 3,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.54 : 6,467.67 = 2,697.40 : x
  2. Step 2: Convert to fraction form
    4,686.54/6,467.67 = 2,697.40/x
  3. Step 3: Cross multiply
    4,686.54x = 6,467.67 × 2,697.40
  4. Step 4: Simplify right side
    4,686.54x = 17,445,847.23
  5. Step 5: Solve for x
    x = 17,445,847.23/4,686.54
  6. Step 6: Final answer
    x = 3,722.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.