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Finding the Fourth Proportional to 5,641.88, 7,783.99 and 3,653.96

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Solution

The fourth proportional to 5,641.88, 7,783.99 and 3,653.96 is: 5,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.88 : 7,783.99 = 3,653.96 : x
  2. Step 2: Convert to fraction form
    5,641.88/7,783.99 = 3,653.96/x
  3. Step 3: Cross multiply
    5,641.88x = 7,783.99 × 3,653.96
  4. Step 4: Simplify right side
    5,641.88x = 28,442,340.05
  5. Step 5: Solve for x
    x = 28,442,340.05/5,641.88
  6. Step 6: Final answer
    x = 5,041.29

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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.