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Finding the Fourth Proportional to 3,638.48, 5,457.92 and 1,173.12

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Solution

The fourth proportional to 3,638.48, 5,457.92 and 1,173.12 is: 1,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.48 : 5,457.92 = 1,173.12 : x
  2. Step 2: Convert to fraction form
    3,638.48/5,457.92 = 1,173.12/x
  3. Step 3: Cross multiply
    3,638.48x = 5,457.92 × 1,173.12
  4. Step 4: Simplify right side
    3,638.48x = 6,402,795.11
  5. Step 5: Solve for x
    x = 6,402,795.11/3,638.48
  6. Step 6: Final answer
    x = 1,759.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.