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Finding the Fourth Proportional to 5,671.59, 7,827.33 and 3,434.03

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Solution

The fourth proportional to 5,671.59, 7,827.33 and 3,434.03 is: 4,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.59 : 7,827.33 = 3,434.03 : x
  2. Step 2: Convert to fraction form
    5,671.59/7,827.33 = 3,434.03/x
  3. Step 3: Cross multiply
    5,671.59x = 7,827.33 × 3,434.03
  4. Step 4: Simplify right side
    5,671.59x = 26,879,246.90
  5. Step 5: Solve for x
    x = 26,879,246.90/5,671.59
  6. Step 6: Final answer
    x = 4,739.28

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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.