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Finding the Fourth Proportional to 4,129.14, 5,697 and 2,360.64

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Solution

The fourth proportional to 4,129.14, 5,697 and 2,360.64 is: 3,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.14 : 5,697 = 2,360.64 : x
  2. Step 2: Convert to fraction form
    4,129.14/5,697 = 2,360.64/x
  3. Step 3: Cross multiply
    4,129.14x = 5,697 × 2,360.64
  4. Step 4: Simplify right side
    4,129.14x = 13,448,566.08
  5. Step 5: Solve for x
    x = 13,448,566.08/4,129.14
  6. Step 6: Final answer
    x = 3,256.99

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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.