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Finding the Fourth Proportional to 4,652.68, 6,420.70 and 2,528.22

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Solution

The fourth proportional to 4,652.68, 6,420.70 and 2,528.22 is: 3,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.68 : 6,420.70 = 2,528.22 : x
  2. Step 2: Convert to fraction form
    4,652.68/6,420.70 = 2,528.22/x
  3. Step 3: Cross multiply
    4,652.68x = 6,420.70 × 2,528.22
  4. Step 4: Simplify right side
    4,652.68x = 16,232,942.15
  5. Step 5: Solve for x
    x = 16,232,942.15/4,652.68
  6. Step 6: Final answer
    x = 3,488.94

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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.