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Finding the Fourth Proportional to 4,612.64, 6,350.04 and 4,400.80

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Solution

The fourth proportional to 4,612.64, 6,350.04 and 4,400.80 is: 6,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.64 : 6,350.04 = 4,400.80 : x
  2. Step 2: Convert to fraction form
    4,612.64/6,350.04 = 4,400.80/x
  3. Step 3: Cross multiply
    4,612.64x = 6,350.04 × 4,400.80
  4. Step 4: Simplify right side
    4,612.64x = 27,945,256.03
  5. Step 5: Solve for x
    x = 27,945,256.03/4,612.64
  6. Step 6: Final answer
    x = 6,058.41

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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.