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Finding the Fourth Proportional to 5,701.71, 8,556.89 and 2,417.10

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Solution

The fourth proportional to 5,701.71, 8,556.89 and 2,417.10 is: 3,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.71 : 8,556.89 = 2,417.10 : x
  2. Step 2: Convert to fraction form
    5,701.71/8,556.89 = 2,417.10/x
  3. Step 3: Cross multiply
    5,701.71x = 8,556.89 × 2,417.10
  4. Step 4: Simplify right side
    5,701.71x = 20,682,858.82
  5. Step 5: Solve for x
    x = 20,682,858.82/5,701.71
  6. Step 6: Final answer
    x = 3,627.48

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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.