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Finding the Fourth Proportional to 3,130.02, 4,694.28 and 938.22

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Solution

The fourth proportional to 3,130.02, 4,694.28 and 938.22 is: 1,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.02 : 4,694.28 = 938.22 : x
  2. Step 2: Convert to fraction form
    3,130.02/4,694.28 = 938.22/x
  3. Step 3: Cross multiply
    3,130.02x = 4,694.28 × 938.22
  4. Step 4: Simplify right side
    3,130.02x = 4,404,267.38
  5. Step 5: Solve for x
    x = 4,404,267.38/3,130.02
  6. Step 6: Final answer
    x = 1,407.11

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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.