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Finding the Fourth Proportional to 5,829.42, 8,042.63 and 3,559.94

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Solution

The fourth proportional to 5,829.42, 8,042.63 and 3,559.94 is: 4,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.42 : 8,042.63 = 3,559.94 : x
  2. Step 2: Convert to fraction form
    5,829.42/8,042.63 = 3,559.94/x
  3. Step 3: Cross multiply
    5,829.42x = 8,042.63 × 3,559.94
  4. Step 4: Simplify right side
    5,829.42x = 28,631,272.41
  5. Step 5: Solve for x
    x = 28,631,272.41/5,829.42
  6. Step 6: Final answer
    x = 4,911.51

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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.