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Finding the Fourth Proportional to 4,792.84, 6,615.35 and 4,294.62

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Solution

The fourth proportional to 4,792.84, 6,615.35 and 4,294.62 is: 5,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.84 : 6,615.35 = 4,294.62 : x
  2. Step 2: Convert to fraction form
    4,792.84/6,615.35 = 4,294.62/x
  3. Step 3: Cross multiply
    4,792.84x = 6,615.35 × 4,294.62
  4. Step 4: Simplify right side
    4,792.84x = 28,410,433.21
  5. Step 5: Solve for x
    x = 28,410,433.21/4,792.84
  6. Step 6: Final answer
    x = 5,927.69

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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.