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Finding the Fourth Proportional to 4,440.34, 6,658.62 and 1,974.16

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Solution

The fourth proportional to 4,440.34, 6,658.62 and 1,974.16 is: 2,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440.34 : 6,658.62 = 1,974.16 : x
  2. Step 2: Convert to fraction form
    4,440.34/6,658.62 = 1,974.16/x
  3. Step 3: Cross multiply
    4,440.34x = 6,658.62 × 1,974.16
  4. Step 4: Simplify right side
    4,440.34x = 13,145,181.26
  5. Step 5: Solve for x
    x = 13,145,181.26/4,440.34
  6. Step 6: Final answer
    x = 2,960.40

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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.