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Finding the Fourth Proportional to 4,652.46, 6,420.38 and 2,556.54

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Solution

The fourth proportional to 4,652.46, 6,420.38 and 2,556.54 is: 3,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.46 : 6,420.38 = 2,556.54 : x
  2. Step 2: Convert to fraction form
    4,652.46/6,420.38 = 2,556.54/x
  3. Step 3: Cross multiply
    4,652.46x = 6,420.38 × 2,556.54
  4. Step 4: Simplify right side
    4,652.46x = 16,413,945.50
  5. Step 5: Solve for x
    x = 16,413,945.50/4,652.46
  6. Step 6: Final answer
    x = 3,528.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.