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Finding the Fourth Proportional to 3,294.04, 4,940.32 and 954.04

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Solution

The fourth proportional to 3,294.04, 4,940.32 and 954.04 is: 1,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.04 : 4,940.32 = 954.04 : x
  2. Step 2: Convert to fraction form
    3,294.04/4,940.32 = 954.04/x
  3. Step 3: Cross multiply
    3,294.04x = 4,940.32 × 954.04
  4. Step 4: Simplify right side
    3,294.04x = 4,713,262.89
  5. Step 5: Solve for x
    x = 4,713,262.89/3,294.04
  6. Step 6: Final answer
    x = 1,430.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.