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Finding the Fourth Proportional to 3,556.64, 5,337.68 and 1,610.20

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Solution

The fourth proportional to 3,556.64, 5,337.68 and 1,610.20 is: 2,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.64 : 5,337.68 = 1,610.20 : x
  2. Step 2: Convert to fraction form
    3,556.64/5,337.68 = 1,610.20/x
  3. Step 3: Cross multiply
    3,556.64x = 5,337.68 × 1,610.20
  4. Step 4: Simplify right side
    3,556.64x = 8,594,732.34
  5. Step 5: Solve for x
    x = 8,594,732.34/3,556.64
  6. Step 6: Final answer
    x = 2,416.53

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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.