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Finding the Fourth Proportional to 5,714.76, 8,548.45 and 5,364.84

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Solution

The fourth proportional to 5,714.76, 8,548.45 and 5,364.84 is: 8,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.76 : 8,548.45 = 5,364.84 : x
  2. Step 2: Convert to fraction form
    5,714.76/8,548.45 = 5,364.84/x
  3. Step 3: Cross multiply
    5,714.76x = 8,548.45 × 5,364.84
  4. Step 4: Simplify right side
    5,714.76x = 45,861,085.14
  5. Step 5: Solve for x
    x = 45,861,085.14/5,714.76
  6. Step 6: Final answer
    x = 8,025.02

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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.