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Finding the Fourth Proportional to 4,641.44, 6,407.36 and 2,874.08

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Solution

The fourth proportional to 4,641.44, 6,407.36 and 2,874.08 is: 3,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.44 : 6,407.36 = 2,874.08 : x
  2. Step 2: Convert to fraction form
    4,641.44/6,407.36 = 2,874.08/x
  3. Step 3: Cross multiply
    4,641.44x = 6,407.36 × 2,874.08
  4. Step 4: Simplify right side
    4,641.44x = 18,415,265.23
  5. Step 5: Solve for x
    x = 18,415,265.23/4,641.44
  6. Step 6: Final answer
    x = 3,967.58

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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.