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Finding the Fourth Proportional to 3,457.20, 4,757.28 and 3,126

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Solution

The fourth proportional to 3,457.20, 4,757.28 and 3,126 is: 4,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.20 : 4,757.28 = 3,126 : x
  2. Step 2: Convert to fraction form
    3,457.20/4,757.28 = 3,126/x
  3. Step 3: Cross multiply
    3,457.20x = 4,757.28 × 3,126
  4. Step 4: Simplify right side
    3,457.20x = 14,871,257.28
  5. Step 5: Solve for x
    x = 14,871,257.28/3,457.20
  6. Step 6: Final answer
    x = 4,301.53

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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.