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Finding the Fourth Proportional to 5,132.84, 7,083.19 and 2,894.66

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Solution

The fourth proportional to 5,132.84, 7,083.19 and 2,894.66 is: 3,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.84 : 7,083.19 = 2,894.66 : x
  2. Step 2: Convert to fraction form
    5,132.84/7,083.19 = 2,894.66/x
  3. Step 3: Cross multiply
    5,132.84x = 7,083.19 × 2,894.66
  4. Step 4: Simplify right side
    5,132.84x = 20,503,421.53
  5. Step 5: Solve for x
    x = 20,503,421.53/5,132.84
  6. Step 6: Final answer
    x = 3,994.56

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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.