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Finding the Fourth Proportional to 3,642.84, 5,464.34 and 1,452.60

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Solution

The fourth proportional to 3,642.84, 5,464.34 and 1,452.60 is: 2,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.84 : 5,464.34 = 1,452.60 : x
  2. Step 2: Convert to fraction form
    3,642.84/5,464.34 = 1,452.60/x
  3. Step 3: Cross multiply
    3,642.84x = 5,464.34 × 1,452.60
  4. Step 4: Simplify right side
    3,642.84x = 7,937,500.28
  5. Step 5: Solve for x
    x = 7,937,500.28/3,642.84
  6. Step 6: Final answer
    x = 2,178.93

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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.