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Finding the Fourth Proportional to 3,720.64, 5,129.28 and 3,046.08

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Solution

The fourth proportional to 3,720.64, 5,129.28 and 3,046.08 is: 4,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.64 : 5,129.28 = 3,046.08 : x
  2. Step 2: Convert to fraction form
    3,720.64/5,129.28 = 3,046.08/x
  3. Step 3: Cross multiply
    3,720.64x = 5,129.28 × 3,046.08
  4. Step 4: Simplify right side
    3,720.64x = 15,624,197.22
  5. Step 5: Solve for x
    x = 15,624,197.22/3,720.64
  6. Step 6: Final answer
    x = 4,199.33

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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.