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Finding the Fourth Proportional to 3,754.56, 5,180.04 and 2,430

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Solution

The fourth proportional to 3,754.56, 5,180.04 and 2,430 is: 3,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.56 : 5,180.04 = 2,430 : x
  2. Step 2: Convert to fraction form
    3,754.56/5,180.04 = 2,430/x
  3. Step 3: Cross multiply
    3,754.56x = 5,180.04 × 2,430
  4. Step 4: Simplify right side
    3,754.56x = 12,587,497.20
  5. Step 5: Solve for x
    x = 12,587,497.20/3,754.56
  6. Step 6: Final answer
    x = 3,352.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.