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Finding the Fourth Proportional to 5,554.50, 7,657.30 and 3,783.84

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Solution

The fourth proportional to 5,554.50, 7,657.30 and 3,783.84 is: 5,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,554.50 : 7,657.30 = 3,783.84 : x
  2. Step 2: Convert to fraction form
    5,554.50/7,657.30 = 3,783.84/x
  3. Step 3: Cross multiply
    5,554.50x = 7,657.30 × 3,783.84
  4. Step 4: Simplify right side
    5,554.50x = 28,973,940.83
  5. Step 5: Solve for x
    x = 28,973,940.83/5,554.50
  6. Step 6: Final answer
    x = 5,216.31

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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.