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Finding the Fourth Proportional to 4,846.64, 6,686.54 and 2,957.56

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Solution

The fourth proportional to 4,846.64, 6,686.54 and 2,957.56 is: 4,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.64 : 6,686.54 = 2,957.56 : x
  2. Step 2: Convert to fraction form
    4,846.64/6,686.54 = 2,957.56/x
  3. Step 3: Cross multiply
    4,846.64x = 6,686.54 × 2,957.56
  4. Step 4: Simplify right side
    4,846.64x = 19,775,843.24
  5. Step 5: Solve for x
    x = 19,775,843.24/4,846.64
  6. Step 6: Final answer
    x = 4,080.32

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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.