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Finding the Fourth Proportional to 3,610.64, 5,416.00 and 1,145.48

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Solution

The fourth proportional to 3,610.64, 5,416.00 and 1,145.48 is: 1,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.64 : 5,416.00 = 1,145.48 : x
  2. Step 2: Convert to fraction form
    3,610.64/5,416.00 = 1,145.48/x
  3. Step 3: Cross multiply
    3,610.64x = 5,416.00 × 1,145.48
  4. Step 4: Simplify right side
    3,610.64x = 6,203,889.74
  5. Step 5: Solve for x
    x = 6,203,889.74/3,610.64
  6. Step 6: Final answer
    x = 1,718.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.