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Finding the Fourth Proportional to 3,638.61, 5,017.31 and 2,457.63

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Solution

The fourth proportional to 3,638.61, 5,017.31 and 2,457.63 is: 3,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.61 : 5,017.31 = 2,457.63 : x
  2. Step 2: Convert to fraction form
    3,638.61/5,017.31 = 2,457.63/x
  3. Step 3: Cross multiply
    3,638.61x = 5,017.31 × 2,457.63
  4. Step 4: Simplify right side
    3,638.61x = 12,330,688.50
  5. Step 5: Solve for x
    x = 12,330,688.50/3,638.61
  6. Step 6: Final answer
    x = 3,388.85

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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.