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Finding the Fourth Proportional to 4,675.47, 7,013.07 and 1,388.49

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Solution

The fourth proportional to 4,675.47, 7,013.07 and 1,388.49 is: 2,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.47 : 7,013.07 = 1,388.49 : x
  2. Step 2: Convert to fraction form
    4,675.47/7,013.07 = 1,388.49/x
  3. Step 3: Cross multiply
    4,675.47x = 7,013.07 × 1,388.49
  4. Step 4: Simplify right side
    4,675.47x = 9,737,577.56
  5. Step 5: Solve for x
    x = 9,737,577.56/4,675.47
  6. Step 6: Final answer
    x = 2,082.69

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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.