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Finding the Fourth Proportional to 6,295.16, 8,688.40 and 3,644.18

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Solution

The fourth proportional to 6,295.16, 8,688.40 and 3,644.18 is: 5,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.16 : 8,688.40 = 3,644.18 : x
  2. Step 2: Convert to fraction form
    6,295.16/8,688.40 = 3,644.18/x
  3. Step 3: Cross multiply
    6,295.16x = 8,688.40 × 3,644.18
  4. Step 4: Simplify right side
    6,295.16x = 31,662,093.51
  5. Step 5: Solve for x
    x = 31,662,093.51/6,295.16
  6. Step 6: Final answer
    x = 5,029.59

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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.