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Finding the Fourth Proportional to 5,646.74, 8,475.23 and 3,016.46

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Solution

The fourth proportional to 5,646.74, 8,475.23 and 3,016.46 is: 4,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.74 : 8,475.23 = 3,016.46 : x
  2. Step 2: Convert to fraction form
    5,646.74/8,475.23 = 3,016.46/x
  3. Step 3: Cross multiply
    5,646.74x = 8,475.23 × 3,016.46
  4. Step 4: Simplify right side
    5,646.74x = 25,565,221.02
  5. Step 5: Solve for x
    x = 25,565,221.02/5,646.74
  6. Step 6: Final answer
    x = 4,527.43

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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.