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Finding the Fourth Proportional to 4,975.84, 6,865.68 and 2,880.64

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Solution

The fourth proportional to 4,975.84, 6,865.68 and 2,880.64 is: 3,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.84 : 6,865.68 = 2,880.64 : x
  2. Step 2: Convert to fraction form
    4,975.84/6,865.68 = 2,880.64/x
  3. Step 3: Cross multiply
    4,975.84x = 6,865.68 × 2,880.64
  4. Step 4: Simplify right side
    4,975.84x = 19,777,552.44
  5. Step 5: Solve for x
    x = 19,777,552.44/4,975.84
  6. Step 6: Final answer
    x = 3,974.72

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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.