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Finding the Fourth Proportional to 5,638.02, 8,457.84 and 1,743

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Solution

The fourth proportional to 5,638.02, 8,457.84 and 1,743 is: 2,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.02 : 8,457.84 = 1,743 : x
  2. Step 2: Convert to fraction form
    5,638.02/8,457.84 = 1,743/x
  3. Step 3: Cross multiply
    5,638.02x = 8,457.84 × 1,743
  4. Step 4: Simplify right side
    5,638.02x = 14,742,015.12
  5. Step 5: Solve for x
    x = 14,742,015.12/5,638.02
  6. Step 6: Final answer
    x = 2,614.75

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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.