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Finding the Fourth Proportional to 5,809.96, 8,714.02 and 4,829.07

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Solution

The fourth proportional to 5,809.96, 8,714.02 and 4,829.07 is: 7,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.96 : 8,714.02 = 4,829.07 : x
  2. Step 2: Convert to fraction form
    5,809.96/8,714.02 = 4,829.07/x
  3. Step 3: Cross multiply
    5,809.96x = 8,714.02 × 4,829.07
  4. Step 4: Simplify right side
    5,809.96x = 42,080,588.42
  5. Step 5: Solve for x
    x = 42,080,588.42/5,809.96
  6. Step 6: Final answer
    x = 7,242.84

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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.