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Finding the Fourth Proportional to 6,852.15, 9,452.88 and 4,019.70

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Solution

The fourth proportional to 6,852.15, 9,452.88 and 4,019.70 is: 5,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.15 : 9,452.88 = 4,019.70 : x
  2. Step 2: Convert to fraction form
    6,852.15/9,452.88 = 4,019.70/x
  3. Step 3: Cross multiply
    6,852.15x = 9,452.88 × 4,019.70
  4. Step 4: Simplify right side
    6,852.15x = 37,997,741.74
  5. Step 5: Solve for x
    x = 37,997,741.74/6,852.15
  6. Step 6: Final answer
    x = 5,545.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.