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Finding the Fourth Proportional to 4,536.12, 6,256.64 and 4,164.32

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Solution

The fourth proportional to 4,536.12, 6,256.64 and 4,164.32 is: 5,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.12 : 6,256.64 = 4,164.32 : x
  2. Step 2: Convert to fraction form
    4,536.12/6,256.64 = 4,164.32/x
  3. Step 3: Cross multiply
    4,536.12x = 6,256.64 × 4,164.32
  4. Step 4: Simplify right side
    4,536.12x = 26,054,651.08
  5. Step 5: Solve for x
    x = 26,054,651.08/4,536.12
  6. Step 6: Final answer
    x = 5,743.82

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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.