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Finding the Fourth Proportional to 5,952.74, 8,930.33 and 2,056.64

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Solution

The fourth proportional to 5,952.74, 8,930.33 and 2,056.64 is: 3,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.74 : 8,930.33 = 2,056.64 : x
  2. Step 2: Convert to fraction form
    5,952.74/8,930.33 = 2,056.64/x
  3. Step 3: Cross multiply
    5,952.74x = 8,930.33 × 2,056.64
  4. Step 4: Simplify right side
    5,952.74x = 18,366,473.89
  5. Step 5: Solve for x
    x = 18,366,473.89/5,952.74
  6. Step 6: Final answer
    x = 3,085.38

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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.