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Finding the Fourth Proportional to 4,678.41, 7,016.23 and 3,854.64

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Solution

The fourth proportional to 4,678.41, 7,016.23 and 3,854.64 is: 5,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.41 : 7,016.23 = 3,854.64 : x
  2. Step 2: Convert to fraction form
    4,678.41/7,016.23 = 3,854.64/x
  3. Step 3: Cross multiply
    4,678.41x = 7,016.23 × 3,854.64
  4. Step 4: Simplify right side
    4,678.41x = 27,045,040.81
  5. Step 5: Solve for x
    x = 27,045,040.81/4,678.41
  6. Step 6: Final answer
    x = 5,780.82

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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.