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Finding the Fourth Proportional to 4,701.54, 6,486.04 and 3,022.64

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Solution

The fourth proportional to 4,701.54, 6,486.04 and 3,022.64 is: 4,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.54 : 6,486.04 = 3,022.64 : x
  2. Step 2: Convert to fraction form
    4,701.54/6,486.04 = 3,022.64/x
  3. Step 3: Cross multiply
    4,701.54x = 6,486.04 × 3,022.64
  4. Step 4: Simplify right side
    4,701.54x = 19,604,923.96
  5. Step 5: Solve for x
    x = 19,604,923.96/4,701.54
  6. Step 6: Final answer
    x = 4,169.89

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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.