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Finding the Fourth Proportional to 4,656.98, 6,426.06 and 2,768.60

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Solution

The fourth proportional to 4,656.98, 6,426.06 and 2,768.60 is: 3,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.98 : 6,426.06 = 2,768.60 : x
  2. Step 2: Convert to fraction form
    4,656.98/6,426.06 = 2,768.60/x
  3. Step 3: Cross multiply
    4,656.98x = 6,426.06 × 2,768.60
  4. Step 4: Simplify right side
    4,656.98x = 17,791,189.72
  5. Step 5: Solve for x
    x = 17,791,189.72/4,656.98
  6. Step 6: Final answer
    x = 3,820.33

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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.