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Finding the Fourth Proportional to 5,277.67, 7,283.14 and 3,154.12

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Solution

The fourth proportional to 5,277.67, 7,283.14 and 3,154.12 is: 4,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.67 : 7,283.14 = 3,154.12 : x
  2. Step 2: Convert to fraction form
    5,277.67/7,283.14 = 3,154.12/x
  3. Step 3: Cross multiply
    5,277.67x = 7,283.14 × 3,154.12
  4. Step 4: Simplify right side
    5,277.67x = 22,971,845.35
  5. Step 5: Solve for x
    x = 22,971,845.35/5,277.67
  6. Step 6: Final answer
    x = 4,352.65

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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.