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Finding the Fourth Proportional to 4,317.12, 6,474.06 and 2,007

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Solution

The fourth proportional to 4,317.12, 6,474.06 and 2,007 is: 3,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.12 : 6,474.06 = 2,007 : x
  2. Step 2: Convert to fraction form
    4,317.12/6,474.06 = 2,007/x
  3. Step 3: Cross multiply
    4,317.12x = 6,474.06 × 2,007
  4. Step 4: Simplify right side
    4,317.12x = 12,993,438.42
  5. Step 5: Solve for x
    x = 12,993,438.42/4,317.12
  6. Step 6: Final answer
    x = 3,009.75

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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.