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Finding the Fourth Proportional to 5,147.64, 7,101.12 and 3,256.03

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Solution

The fourth proportional to 5,147.64, 7,101.12 and 3,256.03 is: 4,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.64 : 7,101.12 = 3,256.03 : x
  2. Step 2: Convert to fraction form
    5,147.64/7,101.12 = 3,256.03/x
  3. Step 3: Cross multiply
    5,147.64x = 7,101.12 × 3,256.03
  4. Step 4: Simplify right side
    5,147.64x = 23,121,459.75
  5. Step 5: Solve for x
    x = 23,121,459.75/5,147.64
  6. Step 6: Final answer
    x = 4,491.66

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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.