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Finding the Fourth Proportional to 5,109.51, 7,699.05 and 4,205.35

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Solution

The fourth proportional to 5,109.51, 7,699.05 and 4,205.35 is: 6,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.51 : 7,699.05 = 4,205.35 : x
  2. Step 2: Convert to fraction form
    5,109.51/7,699.05 = 4,205.35/x
  3. Step 3: Cross multiply
    5,109.51x = 7,699.05 × 4,205.35
  4. Step 4: Simplify right side
    5,109.51x = 32,377,199.92
  5. Step 5: Solve for x
    x = 32,377,199.92/5,109.51
  6. Step 6: Final answer
    x = 6,336.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.