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Finding the Fourth Proportional to 6,129.64, 8,458.94 and 3,335.16

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Solution

The fourth proportional to 6,129.64, 8,458.94 and 3,335.16 is: 4,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.64 : 8,458.94 = 3,335.16 : x
  2. Step 2: Convert to fraction form
    6,129.64/8,458.94 = 3,335.16/x
  3. Step 3: Cross multiply
    6,129.64x = 8,458.94 × 3,335.16
  4. Step 4: Simplify right side
    6,129.64x = 28,211,918.33
  5. Step 5: Solve for x
    x = 28,211,918.33/6,129.64
  6. Step 6: Final answer
    x = 4,602.54

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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.