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Finding the Fourth Proportional to 4,657.84, 6,984.96 and 1,883.80

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Solution

The fourth proportional to 4,657.84, 6,984.96 and 1,883.80 is: 2,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.84 : 6,984.96 = 1,883.80 : x
  2. Step 2: Convert to fraction form
    4,657.84/6,984.96 = 1,883.80/x
  3. Step 3: Cross multiply
    4,657.84x = 6,984.96 × 1,883.80
  4. Step 4: Simplify right side
    4,657.84x = 13,158,267.65
  5. Step 5: Solve for x
    x = 13,158,267.65/4,657.84
  6. Step 6: Final answer
    x = 2,824.97

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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.