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Finding the Fourth Proportional to 4,902.94, 7,347.92 and 2,302.30

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Solution

The fourth proportional to 4,902.94, 7,347.92 and 2,302.30 is: 3,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.94 : 7,347.92 = 2,302.30 : x
  2. Step 2: Convert to fraction form
    4,902.94/7,347.92 = 2,302.30/x
  3. Step 3: Cross multiply
    4,902.94x = 7,347.92 × 2,302.30
  4. Step 4: Simplify right side
    4,902.94x = 16,917,116.22
  5. Step 5: Solve for x
    x = 16,917,116.22/4,902.94
  6. Step 6: Final answer
    x = 3,450.40

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1.5x scale

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.