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Finding the Fourth Proportional to 5,402.28, 7,457.01 and 3,164.88

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Solution

The fourth proportional to 5,402.28, 7,457.01 and 3,164.88 is: 4,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.28 : 7,457.01 = 3,164.88 : x
  2. Step 2: Convert to fraction form
    5,402.28/7,457.01 = 3,164.88/x
  3. Step 3: Cross multiply
    5,402.28x = 7,457.01 × 3,164.88
  4. Step 4: Simplify right side
    5,402.28x = 23,600,541.81
  5. Step 5: Solve for x
    x = 23,600,541.81/5,402.28
  6. Step 6: Final answer
    x = 4,368.63

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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.