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Finding the Fourth Proportional to 3,403.97, 5,106.14 and 1,064.30

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Solution

The fourth proportional to 3,403.97, 5,106.14 and 1,064.30 is: 1,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.97 : 5,106.14 = 1,064.30 : x
  2. Step 2: Convert to fraction form
    3,403.97/5,106.14 = 1,064.30/x
  3. Step 3: Cross multiply
    3,403.97x = 5,106.14 × 1,064.30
  4. Step 4: Simplify right side
    3,403.97x = 5,434,433.95
  5. Step 5: Solve for x
    x = 5,434,433.95/3,403.97
  6. Step 6: Final answer
    x = 1,596.50

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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.