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Finding the Fourth Proportional to 3,459.88, 4,773.18 and 2,412.55

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Solution

The fourth proportional to 3,459.88, 4,773.18 and 2,412.55 is: 3,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.88 : 4,773.18 = 2,412.55 : x
  2. Step 2: Convert to fraction form
    3,459.88/4,773.18 = 2,412.55/x
  3. Step 3: Cross multiply
    3,459.88x = 4,773.18 × 2,412.55
  4. Step 4: Simplify right side
    3,459.88x = 11,515,535.41
  5. Step 5: Solve for x
    x = 11,515,535.41/3,459.88
  6. Step 6: Final answer
    x = 3,328.30

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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.