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Finding the Fourth Proportional to 4,686.66, 6,467.58 and 2,697.60

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Solution

The fourth proportional to 4,686.66, 6,467.58 and 2,697.60 is: 3,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.66 : 6,467.58 = 2,697.60 : x
  2. Step 2: Convert to fraction form
    4,686.66/6,467.58 = 2,697.60/x
  3. Step 3: Cross multiply
    4,686.66x = 6,467.58 × 2,697.60
  4. Step 4: Simplify right side
    4,686.66x = 17,446,968.06
  5. Step 5: Solve for x
    x = 17,446,968.06/4,686.66
  6. Step 6: Final answer
    x = 3,722.69

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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.