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Finding the Fourth Proportional to 4,969.16, 6,856.20 and 2,980.52

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Solution

The fourth proportional to 4,969.16, 6,856.20 and 2,980.52 is: 4,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.16 : 6,856.20 = 2,980.52 : x
  2. Step 2: Convert to fraction form
    4,969.16/6,856.20 = 2,980.52/x
  3. Step 3: Cross multiply
    4,969.16x = 6,856.20 × 2,980.52
  4. Step 4: Simplify right side
    4,969.16x = 20,435,041.22
  5. Step 5: Solve for x
    x = 20,435,041.22/4,969.16
  6. Step 6: Final answer
    x = 4,112.37

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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.