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Finding the Fourth Proportional to 3,816.86, 5,725.30 and 1,220

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Solution

The fourth proportional to 3,816.86, 5,725.30 and 1,220 is: 1,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.86 : 5,725.30 = 1,220 : x
  2. Step 2: Convert to fraction form
    3,816.86/5,725.30 = 1,220/x
  3. Step 3: Cross multiply
    3,816.86x = 5,725.30 × 1,220
  4. Step 4: Simplify right side
    3,816.86x = 6,984,866
  5. Step 5: Solve for x
    x = 6,984,866/3,816.86
  6. Step 6: Final answer
    x = 1,830.00

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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.