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Finding the Fourth Proportional to 4,084.76, 6,118.02 and 3,153.50

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Solution

The fourth proportional to 4,084.76, 6,118.02 and 3,153.50 is: 4,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.76 : 6,118.02 = 3,153.50 : x
  2. Step 2: Convert to fraction form
    4,084.76/6,118.02 = 3,153.50/x
  3. Step 3: Cross multiply
    4,084.76x = 6,118.02 × 3,153.50
  4. Step 4: Simplify right side
    4,084.76x = 19,293,176.07
  5. Step 5: Solve for x
    x = 19,293,176.07/4,084.76
  6. Step 6: Final answer
    x = 4,723.21

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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.