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Finding the Fourth Proportional to 6,395.16, 8,825.84 and 3,562.80

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Solution

The fourth proportional to 6,395.16, 8,825.84 and 3,562.80 is: 4,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.16 : 8,825.84 = 3,562.80 : x
  2. Step 2: Convert to fraction form
    6,395.16/8,825.84 = 3,562.80/x
  3. Step 3: Cross multiply
    6,395.16x = 8,825.84 × 3,562.80
  4. Step 4: Simplify right side
    6,395.16x = 31,444,702.75
  5. Step 5: Solve for x
    x = 31,444,702.75/6,395.16
  6. Step 6: Final answer
    x = 4,916.95

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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.