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Finding the Fourth Proportional to 4,954.80, 7,420.05 and 3,302.40

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Solution

The fourth proportional to 4,954.80, 7,420.05 and 3,302.40 is: 4,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.80 : 7,420.05 = 3,302.40 : x
  2. Step 2: Convert to fraction form
    4,954.80/7,420.05 = 3,302.40/x
  3. Step 3: Cross multiply
    4,954.80x = 7,420.05 × 3,302.40
  4. Step 4: Simplify right side
    4,954.80x = 24,503,973.12
  5. Step 5: Solve for x
    x = 24,503,973.12/4,954.80
  6. Step 6: Final answer
    x = 4,945.50

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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.