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Finding the Fourth Proportional to 3,468.56, 4,782.45 and 2,407.24

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Solution

The fourth proportional to 3,468.56, 4,782.45 and 2,407.24 is: 3,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.56 : 4,782.45 = 2,407.24 : x
  2. Step 2: Convert to fraction form
    3,468.56/4,782.45 = 2,407.24/x
  3. Step 3: Cross multiply
    3,468.56x = 4,782.45 × 2,407.24
  4. Step 4: Simplify right side
    3,468.56x = 11,512,480.95
  5. Step 5: Solve for x
    x = 11,512,480.95/3,468.56
  6. Step 6: Final answer
    x = 3,319.09

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