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Finding the Fourth Proportional to 3,345.68, 4,606.26 and 2,872.64

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Solution

The fourth proportional to 3,345.68, 4,606.26 and 2,872.64 is: 3,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.68 : 4,606.26 = 2,872.64 : x
  2. Step 2: Convert to fraction form
    3,345.68/4,606.26 = 2,872.64/x
  3. Step 3: Cross multiply
    3,345.68x = 4,606.26 × 2,872.64
  4. Step 4: Simplify right side
    3,345.68x = 13,232,126.73
  5. Step 5: Solve for x
    x = 13,232,126.73/3,345.68
  6. Step 6: Final answer
    x = 3,954.99

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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.