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Finding the Fourth Proportional to 4,652.31, 6,420.02 and 2,662.82

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Solution

The fourth proportional to 4,652.31, 6,420.02 and 2,662.82 is: 3,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.31 : 6,420.02 = 2,662.82 : x
  2. Step 2: Convert to fraction form
    4,652.31/6,420.02 = 2,662.82/x
  3. Step 3: Cross multiply
    4,652.31x = 6,420.02 × 2,662.82
  4. Step 4: Simplify right side
    4,652.31x = 17,095,312.24
  5. Step 5: Solve for x
    x = 17,095,312.24/4,652.31
  6. Step 6: Final answer
    x = 3,674.59

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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.