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Finding the Fourth Proportional to 5,894.90, 8,132.24 and 3,532.94

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Solution

The fourth proportional to 5,894.90, 8,132.24 and 3,532.94 is: 4,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.90 : 8,132.24 = 3,532.94 : x
  2. Step 2: Convert to fraction form
    5,894.90/8,132.24 = 3,532.94/x
  3. Step 3: Cross multiply
    5,894.90x = 8,132.24 × 3,532.94
  4. Step 4: Simplify right side
    5,894.90x = 28,730,698.32
  5. Step 5: Solve for x
    x = 28,730,698.32/5,894.90
  6. Step 6: Final answer
    x = 4,873.82

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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.