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Finding the Fourth Proportional to 2,647.64, 3,959.78 and 2,357.06

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Solution

The fourth proportional to 2,647.64, 3,959.78 and 2,357.06 is: 3,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.64 : 3,959.78 = 2,357.06 : x
  2. Step 2: Convert to fraction form
    2,647.64/3,959.78 = 2,357.06/x
  3. Step 3: Cross multiply
    2,647.64x = 3,959.78 × 2,357.06
  4. Step 4: Simplify right side
    2,647.64x = 9,333,439.05
  5. Step 5: Solve for x
    x = 9,333,439.05/2,647.64
  6. Step 6: Final answer
    x = 3,525.19

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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.