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Finding the Fourth Proportional to 4,966.42, 7,438.94 and 4,675.62

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Solution

The fourth proportional to 4,966.42, 7,438.94 and 4,675.62 is: 7,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.42 : 7,438.94 = 4,675.62 : x
  2. Step 2: Convert to fraction form
    4,966.42/7,438.94 = 4,675.62/x
  3. Step 3: Cross multiply
    4,966.42x = 7,438.94 × 4,675.62
  4. Step 4: Simplify right side
    4,966.42x = 34,781,656.64
  5. Step 5: Solve for x
    x = 34,781,656.64/4,966.42
  6. Step 6: Final answer
    x = 7,003.37

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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.