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Finding the Fourth Proportional to 5,836.93, 8,057.90 and 3,714.59

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Solution

The fourth proportional to 5,836.93, 8,057.90 and 3,714.59 is: 5,128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.93 : 8,057.90 = 3,714.59 : x
  2. Step 2: Convert to fraction form
    5,836.93/8,057.90 = 3,714.59/x
  3. Step 3: Cross multiply
    5,836.93x = 8,057.90 × 3,714.59
  4. Step 4: Simplify right side
    5,836.93x = 29,931,776.19
  5. Step 5: Solve for x
    x = 29,931,776.19/5,836.93
  6. Step 6: Final answer
    x = 5,128.00

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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.