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Finding the Fourth Proportional to 4,770.06, 6,584.05 and 2,881.34

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Solution

The fourth proportional to 4,770.06, 6,584.05 and 2,881.34 is: 3,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.06 : 6,584.05 = 2,881.34 : x
  2. Step 2: Convert to fraction form
    4,770.06/6,584.05 = 2,881.34/x
  3. Step 3: Cross multiply
    4,770.06x = 6,584.05 × 2,881.34
  4. Step 4: Simplify right side
    4,770.06x = 18,970,886.63
  5. Step 5: Solve for x
    x = 18,970,886.63/4,770.06
  6. Step 6: Final answer
    x = 3,977.08

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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.