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Finding the Fourth Proportional to 3,783.01, 5,674.53 and 1,317.25

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Solution

The fourth proportional to 3,783.01, 5,674.53 and 1,317.25 is: 1,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.01 : 5,674.53 = 1,317.25 : x
  2. Step 2: Convert to fraction form
    3,783.01/5,674.53 = 1,317.25/x
  3. Step 3: Cross multiply
    3,783.01x = 5,674.53 × 1,317.25
  4. Step 4: Simplify right side
    3,783.01x = 7,474,774.64
  5. Step 5: Solve for x
    x = 7,474,774.64/3,783.01
  6. Step 6: Final answer
    x = 1,975.88

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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.