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Finding the Fourth Proportional to 3,762.48, 5,643.72 and 1,454.52

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Solution

The fourth proportional to 3,762.48, 5,643.72 and 1,454.52 is: 2,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.48 : 5,643.72 = 1,454.52 : x
  2. Step 2: Convert to fraction form
    3,762.48/5,643.72 = 1,454.52/x
  3. Step 3: Cross multiply
    3,762.48x = 5,643.72 × 1,454.52
  4. Step 4: Simplify right side
    3,762.48x = 8,208,903.61
  5. Step 5: Solve for x
    x = 8,208,903.61/3,762.48
  6. Step 6: Final answer
    x = 2,181.78

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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.