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Finding the Fourth Proportional to 5,706.05, 7,874.01 and 3,348

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Solution

The fourth proportional to 5,706.05, 7,874.01 and 3,348 is: 4,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.05 : 7,874.01 = 3,348 : x
  2. Step 2: Convert to fraction form
    5,706.05/7,874.01 = 3,348/x
  3. Step 3: Cross multiply
    5,706.05x = 7,874.01 × 3,348
  4. Step 4: Simplify right side
    5,706.05x = 26,362,185.48
  5. Step 5: Solve for x
    x = 26,362,185.48/5,706.05
  6. Step 6: Final answer
    x = 4,620.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.