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Finding the Fourth Proportional to 4,652.32, 6,420.28 and 2,556.64

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Solution

The fourth proportional to 4,652.32, 6,420.28 and 2,556.64 is: 3,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.32 : 6,420.28 = 2,556.64 : x
  2. Step 2: Convert to fraction form
    4,652.32/6,420.28 = 2,556.64/x
  3. Step 3: Cross multiply
    4,652.32x = 6,420.28 × 2,556.64
  4. Step 4: Simplify right side
    4,652.32x = 16,414,344.66
  5. Step 5: Solve for x
    x = 16,414,344.66/4,652.32
  6. Step 6: Final answer
    x = 3,528.21

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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.