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Finding the Fourth Proportional to 3,827.07, 5,283.48 and 2,412.57

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Solution

The fourth proportional to 3,827.07, 5,283.48 and 2,412.57 is: 3,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.07 : 5,283.48 = 2,412.57 : x
  2. Step 2: Convert to fraction form
    3,827.07/5,283.48 = 2,412.57/x
  3. Step 3: Cross multiply
    3,827.07x = 5,283.48 × 2,412.57
  4. Step 4: Simplify right side
    3,827.07x = 12,746,765.34
  5. Step 5: Solve for x
    x = 12,746,765.34/3,827.07
  6. Step 6: Final answer
    x = 3,330.69

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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.