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Finding the Fourth Proportional to 5,816.45, 8,714.26 and 5,411.62

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Solution

The fourth proportional to 5,816.45, 8,714.26 and 5,411.62 is: 8,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.45 : 8,714.26 = 5,411.62 : x
  2. Step 2: Convert to fraction form
    5,816.45/8,714.26 = 5,411.62/x
  3. Step 3: Cross multiply
    5,816.45x = 8,714.26 × 5,411.62
  4. Step 4: Simplify right side
    5,816.45x = 47,158,263.70
  5. Step 5: Solve for x
    x = 47,158,263.70/5,816.45
  6. Step 6: Final answer
    x = 8,107.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.