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Finding the Fourth Proportional to 4,633.40, 6,946.02 and 2,407.54

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Solution

The fourth proportional to 4,633.40, 6,946.02 and 2,407.54 is: 3,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.40 : 6,946.02 = 2,407.54 : x
  2. Step 2: Convert to fraction form
    4,633.40/6,946.02 = 2,407.54/x
  3. Step 3: Cross multiply
    4,633.40x = 6,946.02 × 2,407.54
  4. Step 4: Simplify right side
    4,633.40x = 16,722,820.99
  5. Step 5: Solve for x
    x = 16,722,820.99/4,633.40
  6. Step 6: Final answer
    x = 3,609.19

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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.