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Finding the Fourth Proportional to 3,138.48, 4,707.75 and 947.22

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Solution

The fourth proportional to 3,138.48, 4,707.75 and 947.22 is: 1,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.48 : 4,707.75 = 947.22 : x
  2. Step 2: Convert to fraction form
    3,138.48/4,707.75 = 947.22/x
  3. Step 3: Cross multiply
    3,138.48x = 4,707.75 × 947.22
  4. Step 4: Simplify right side
    3,138.48x = 4,459,274.96
  5. Step 5: Solve for x
    x = 4,459,274.96/3,138.48
  6. Step 6: Final answer
    x = 1,420.84

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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.