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Finding the Fourth Proportional to 5,124.98, 7,680.05 and 2,783.00

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Solution

The fourth proportional to 5,124.98, 7,680.05 and 2,783.00 is: 4,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.98 : 7,680.05 = 2,783.00 : x
  2. Step 2: Convert to fraction form
    5,124.98/7,680.05 = 2,783.00/x
  3. Step 3: Cross multiply
    5,124.98x = 7,680.05 × 2,783.00
  4. Step 4: Simplify right side
    5,124.98x = 21,373,594.87
  5. Step 5: Solve for x
    x = 21,373,594.87/5,124.98
  6. Step 6: Final answer
    x = 4,170.47

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