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Finding the Fourth Proportional to 6,152.46, 8,494.47 and 3,798.06

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Solution

The fourth proportional to 6,152.46, 8,494.47 and 3,798.06 is: 5,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.46 : 8,494.47 = 3,798.06 : x
  2. Step 2: Convert to fraction form
    6,152.46/8,494.47 = 3,798.06/x
  3. Step 3: Cross multiply
    6,152.46x = 8,494.47 × 3,798.06
  4. Step 4: Simplify right side
    6,152.46x = 32,262,506.73
  5. Step 5: Solve for x
    x = 32,262,506.73/6,152.46
  6. Step 6: Final answer
    x = 5,243.84

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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.