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Finding the Fourth Proportional to 5,829.42, 8,053.98 and 4,068.84

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Solution

The fourth proportional to 5,829.42, 8,053.98 and 4,068.84 is: 5,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.42 : 8,053.98 = 4,068.84 : x
  2. Step 2: Convert to fraction form
    5,829.42/8,053.98 = 4,068.84/x
  3. Step 3: Cross multiply
    5,829.42x = 8,053.98 × 4,068.84
  4. Step 4: Simplify right side
    5,829.42x = 32,770,355.98
  5. Step 5: Solve for x
    x = 32,770,355.98/5,829.42
  6. Step 6: Final answer
    x = 5,621.55

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1.5x scale

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.