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Finding the Fourth Proportional to 4,970.39, 6,856.42 and 3,055.16

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Solution

The fourth proportional to 4,970.39, 6,856.42 and 3,055.16 is: 4,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.39 : 6,856.42 = 3,055.16 : x
  2. Step 2: Convert to fraction form
    4,970.39/6,856.42 = 3,055.16/x
  3. Step 3: Cross multiply
    4,970.39x = 6,856.42 × 3,055.16
  4. Step 4: Simplify right side
    4,970.39x = 20,947,469.63
  5. Step 5: Solve for x
    x = 20,947,469.63/4,970.39
  6. Step 6: Final answer
    x = 4,214.46

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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.