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Finding the Fourth Proportional to 6,382.34, 8,804.61 and 4,258.86

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Solution

The fourth proportional to 6,382.34, 8,804.61 and 4,258.86 is: 5,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.34 : 8,804.61 = 4,258.86 : x
  2. Step 2: Convert to fraction form
    6,382.34/8,804.61 = 4,258.86/x
  3. Step 3: Cross multiply
    6,382.34x = 8,804.61 × 4,258.86
  4. Step 4: Simplify right side
    6,382.34x = 37,497,601.34
  5. Step 5: Solve for x
    x = 37,497,601.34/6,382.34
  6. Step 6: Final answer
    x = 5,875.21

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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.