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Finding the Fourth Proportional to 4,471.61, 6,707.48 and 1,351.64

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Solution

The fourth proportional to 4,471.61, 6,707.48 and 1,351.64 is: 2,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.61 : 6,707.48 = 1,351.64 : x
  2. Step 2: Convert to fraction form
    4,471.61/6,707.48 = 1,351.64/x
  3. Step 3: Cross multiply
    4,471.61x = 6,707.48 × 1,351.64
  4. Step 4: Simplify right side
    4,471.61x = 9,066,070.55
  5. Step 5: Solve for x
    x = 9,066,070.55/4,471.61
  6. Step 6: Final answer
    x = 2,027.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.