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Finding the Fourth Proportional to 5,827.35, 8,697 and 5,432.33

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Solution

The fourth proportional to 5,827.35, 8,697 and 5,432.33 is: 8,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.35 : 8,697 = 5,432.33 : x
  2. Step 2: Convert to fraction form
    5,827.35/8,697 = 5,432.33/x
  3. Step 3: Cross multiply
    5,827.35x = 8,697 × 5,432.33
  4. Step 4: Simplify right side
    5,827.35x = 47,244,930.53
  5. Step 5: Solve for x
    x = 47,244,930.53/5,827.35
  6. Step 6: Final answer
    x = 8,107.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.