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Finding the Fourth Proportional to 4,548, 6,812.08 and 2,787.66

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Solution

The fourth proportional to 4,548, 6,812.08 and 2,787.66 is: 4,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548 : 6,812.08 = 2,787.66 : x
  2. Step 2: Convert to fraction form
    4,548/6,812.08 = 2,787.66/x
  3. Step 3: Cross multiply
    4,548x = 6,812.08 × 2,787.66
  4. Step 4: Simplify right side
    4,548x = 18,989,762.93
  5. Step 5: Solve for x
    x = 18,989,762.93/4,548
  6. Step 6: Final answer
    x = 4,175.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.