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Finding the Fourth Proportional to 4,713.78, 6,504.60 and 2,588.96

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Solution

The fourth proportional to 4,713.78, 6,504.60 and 2,588.96 is: 3,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.78 : 6,504.60 = 2,588.96 : x
  2. Step 2: Convert to fraction form
    4,713.78/6,504.60 = 2,588.96/x
  3. Step 3: Cross multiply
    4,713.78x = 6,504.60 × 2,588.96
  4. Step 4: Simplify right side
    4,713.78x = 16,840,149.22
  5. Step 5: Solve for x
    x = 16,840,149.22/4,713.78
  6. Step 6: Final answer
    x = 3,572.54

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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.