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Finding the Fourth Proportional to 6,186.25, 8,537.06 and 3,702.25

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Solution

The fourth proportional to 6,186.25, 8,537.06 and 3,702.25 is: 5,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.25 : 8,537.06 = 3,702.25 : x
  2. Step 2: Convert to fraction form
    6,186.25/8,537.06 = 3,702.25/x
  3. Step 3: Cross multiply
    6,186.25x = 8,537.06 × 3,702.25
  4. Step 4: Simplify right side
    6,186.25x = 31,606,330.39
  5. Step 5: Solve for x
    x = 31,606,330.39/6,186.25
  6. Step 6: Final answer
    x = 5,109.13

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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.