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Finding the Fourth Proportional to 4,130.88, 5,700 and 2,452.32

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Solution

The fourth proportional to 4,130.88, 5,700 and 2,452.32 is: 3,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.88 : 5,700 = 2,452.32 : x
  2. Step 2: Convert to fraction form
    4,130.88/5,700 = 2,452.32/x
  3. Step 3: Cross multiply
    4,130.88x = 5,700 × 2,452.32
  4. Step 4: Simplify right side
    4,130.88x = 13,978,224.00
  5. Step 5: Solve for x
    x = 13,978,224.00/4,130.88
  6. Step 6: Final answer
    x = 3,383.84

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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.