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Finding the Fourth Proportional to 5,298.60, 7,311.75 and 2,940.74

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Solution

The fourth proportional to 5,298.60, 7,311.75 and 2,940.74 is: 4,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.60 : 7,311.75 = 2,940.74 : x
  2. Step 2: Convert to fraction form
    5,298.60/7,311.75 = 2,940.74/x
  3. Step 3: Cross multiply
    5,298.60x = 7,311.75 × 2,940.74
  4. Step 4: Simplify right side
    5,298.60x = 21,501,973.97
  5. Step 5: Solve for x
    x = 21,501,973.97/5,298.60
  6. Step 6: Final answer
    x = 4,058.05

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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.