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Finding the Fourth Proportional to 5,801.43, 8,006 and 3,148.85

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Solution

The fourth proportional to 5,801.43, 8,006 and 3,148.85 is: 4,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.43 : 8,006 = 3,148.85 : x
  2. Step 2: Convert to fraction form
    5,801.43/8,006 = 3,148.85/x
  3. Step 3: Cross multiply
    5,801.43x = 8,006 × 3,148.85
  4. Step 4: Simplify right side
    5,801.43x = 25,209,653.07
  5. Step 5: Solve for x
    x = 25,209,653.07/5,801.43
  6. Step 6: Final answer
    x = 4,345.42

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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.