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Finding the Fourth Proportional to 4,659.22, 6,430.46 and 2,770.88

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Solution

The fourth proportional to 4,659.22, 6,430.46 and 2,770.88 is: 3,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.22 : 6,430.46 = 2,770.88 : x
  2. Step 2: Convert to fraction form
    4,659.22/6,430.46 = 2,770.88/x
  3. Step 3: Cross multiply
    4,659.22x = 6,430.46 × 2,770.88
  4. Step 4: Simplify right side
    4,659.22x = 17,818,064.63
  5. Step 5: Solve for x
    x = 17,818,064.63/4,659.22
  6. Step 6: Final answer
    x = 3,824.26

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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.