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Finding the Fourth Proportional to 4,152.39, 6,216.15 and 4,004.70

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Solution

The fourth proportional to 4,152.39, 6,216.15 and 4,004.70 is: 5,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.39 : 6,216.15 = 4,004.70 : x
  2. Step 2: Convert to fraction form
    4,152.39/6,216.15 = 4,004.70/x
  3. Step 3: Cross multiply
    4,152.39x = 6,216.15 × 4,004.70
  4. Step 4: Simplify right side
    4,152.39x = 24,893,815.91
  5. Step 5: Solve for x
    x = 24,893,815.91/4,152.39
  6. Step 6: Final answer
    x = 5,995.06

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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.