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Finding the Fourth Proportional to 4,967.30, 7,438.80 and 3,314.90

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Solution

The fourth proportional to 4,967.30, 7,438.80 and 3,314.90 is: 4,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.30 : 7,438.80 = 3,314.90 : x
  2. Step 2: Convert to fraction form
    4,967.30/7,438.80 = 3,314.90/x
  3. Step 3: Cross multiply
    4,967.30x = 7,438.80 × 3,314.90
  4. Step 4: Simplify right side
    4,967.30x = 24,658,878.12
  5. Step 5: Solve for x
    x = 24,658,878.12/4,967.30
  6. Step 6: Final answer
    x = 4,964.24

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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.