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Finding the Fourth Proportional to 3,847.18, 5,769.96 and 1,655.32

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Solution

The fourth proportional to 3,847.18, 5,769.96 and 1,655.32 is: 2,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.18 : 5,769.96 = 1,655.32 : x
  2. Step 2: Convert to fraction form
    3,847.18/5,769.96 = 1,655.32/x
  3. Step 3: Cross multiply
    3,847.18x = 5,769.96 × 1,655.32
  4. Step 4: Simplify right side
    3,847.18x = 9,551,130.19
  5. Step 5: Solve for x
    x = 9,551,130.19/3,847.18
  6. Step 6: Final answer
    x = 2,482.63

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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.