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Finding the Fourth Proportional to 3,027.12, 4,541.30 and 947.04

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Solution

The fourth proportional to 3,027.12, 4,541.30 and 947.04 is: 1,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.12 : 4,541.30 = 947.04 : x
  2. Step 2: Convert to fraction form
    3,027.12/4,541.30 = 947.04/x
  3. Step 3: Cross multiply
    3,027.12x = 4,541.30 × 947.04
  4. Step 4: Simplify right side
    3,027.12x = 4,300,792.75
  5. Step 5: Solve for x
    x = 4,300,792.75/3,027.12
  6. Step 6: Final answer
    x = 1,420.75

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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.