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Finding the Fourth Proportional to 4,771.48, 6,584.71 and 3,574.34

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Solution

The fourth proportional to 4,771.48, 6,584.71 and 3,574.34 is: 4,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.48 : 6,584.71 = 3,574.34 : x
  2. Step 2: Convert to fraction form
    4,771.48/6,584.71 = 3,574.34/x
  3. Step 3: Cross multiply
    4,771.48x = 6,584.71 × 3,574.34
  4. Step 4: Simplify right side
    4,771.48x = 23,535,999.87
  5. Step 5: Solve for x
    x = 23,535,999.87/4,771.48
  6. Step 6: Final answer
    x = 4,932.64

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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.