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Finding the Fourth Proportional to 4,959.90, 6,842.31 and 2,970.09

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Solution

The fourth proportional to 4,959.90, 6,842.31 and 2,970.09 is: 4,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.90 : 6,842.31 = 2,970.09 : x
  2. Step 2: Convert to fraction form
    4,959.90/6,842.31 = 2,970.09/x
  3. Step 3: Cross multiply
    4,959.90x = 6,842.31 × 2,970.09
  4. Step 4: Simplify right side
    4,959.90x = 20,322,276.51
  5. Step 5: Solve for x
    x = 20,322,276.51/4,959.90
  6. Step 6: Final answer
    x = 4,097.32

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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.