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Finding the Fourth Proportional to 4,970.63, 6,859.31 and 2,846.09

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Solution

The fourth proportional to 4,970.63, 6,859.31 and 2,846.09 is: 3,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.63 : 6,859.31 = 2,846.09 : x
  2. Step 2: Convert to fraction form
    4,970.63/6,859.31 = 2,846.09/x
  3. Step 3: Cross multiply
    4,970.63x = 6,859.31 × 2,846.09
  4. Step 4: Simplify right side
    4,970.63x = 19,522,186.42
  5. Step 5: Solve for x
    x = 19,522,186.42/4,970.63
  6. Step 6: Final answer
    x = 3,927.51

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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.