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Finding the Fourth Proportional to 4,672.97, 7,009.38 and 1,388.28

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Solution

The fourth proportional to 4,672.97, 7,009.38 and 1,388.28 is: 2,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.97 : 7,009.38 = 1,388.28 : x
  2. Step 2: Convert to fraction form
    4,672.97/7,009.38 = 1,388.28/x
  3. Step 3: Cross multiply
    4,672.97x = 7,009.38 × 1,388.28
  4. Step 4: Simplify right side
    4,672.97x = 9,730,982.07
  5. Step 5: Solve for x
    x = 9,730,982.07/4,672.97
  6. Step 6: Final answer
    x = 2,082.40

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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.