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Finding the Fourth Proportional to 4,686.52, 6,467.68 and 2,697.02

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Solution

The fourth proportional to 4,686.52, 6,467.68 and 2,697.02 is: 3,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.52 : 6,467.68 = 2,697.02 : x
  2. Step 2: Convert to fraction form
    4,686.52/6,467.68 = 2,697.02/x
  3. Step 3: Cross multiply
    4,686.52x = 6,467.68 × 2,697.02
  4. Step 4: Simplify right side
    4,686.52x = 17,443,462.31
  5. Step 5: Solve for x
    x = 17,443,462.31/4,686.52
  6. Step 6: Final answer
    x = 3,722.05

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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.