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Finding the Fourth Proportional to 4,675.70, 7,007.40 and 3,437.30

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Solution

The fourth proportional to 4,675.70, 7,007.40 and 3,437.30 is: 5,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.70 : 7,007.40 = 3,437.30 : x
  2. Step 2: Convert to fraction form
    4,675.70/7,007.40 = 3,437.30/x
  3. Step 3: Cross multiply
    4,675.70x = 7,007.40 × 3,437.30
  4. Step 4: Simplify right side
    4,675.70x = 24,086,536.02
  5. Step 5: Solve for x
    x = 24,086,536.02/4,675.70
  6. Step 6: Final answer
    x = 5,151.43

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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.