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Finding the Fourth Proportional to 4,471.64, 6,171.54 and 2,904.26

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Solution

The fourth proportional to 4,471.64, 6,171.54 and 2,904.26 is: 4,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.64 : 6,171.54 = 2,904.26 : x
  2. Step 2: Convert to fraction form
    4,471.64/6,171.54 = 2,904.26/x
  3. Step 3: Cross multiply
    4,471.64x = 6,171.54 × 2,904.26
  4. Step 4: Simplify right side
    4,471.64x = 17,923,756.76
  5. Step 5: Solve for x
    x = 17,923,756.76/4,471.64
  6. Step 6: Final answer
    x = 4,008.32

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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.