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Finding the Fourth Proportional to 4,186.16, 6,266.24 and 3,032.72

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Solution

The fourth proportional to 4,186.16, 6,266.24 and 3,032.72 is: 4,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.16 : 6,266.24 = 3,032.72 : x
  2. Step 2: Convert to fraction form
    4,186.16/6,266.24 = 3,032.72/x
  3. Step 3: Cross multiply
    4,186.16x = 6,266.24 × 3,032.72
  4. Step 4: Simplify right side
    4,186.16x = 19,003,751.37
  5. Step 5: Solve for x
    x = 19,003,751.37/4,186.16
  6. Step 6: Final answer
    x = 4,539.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.