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Finding the Fourth Proportional to 5,830.32, 8,040.87 and 3,941.40

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Solution

The fourth proportional to 5,830.32, 8,040.87 and 3,941.40 is: 5,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.32 : 8,040.87 = 3,941.40 : x
  2. Step 2: Convert to fraction form
    5,830.32/8,040.87 = 3,941.40/x
  3. Step 3: Cross multiply
    5,830.32x = 8,040.87 × 3,941.40
  4. Step 4: Simplify right side
    5,830.32x = 31,692,285.02
  5. Step 5: Solve for x
    x = 31,692,285.02/5,830.32
  6. Step 6: Final answer
    x = 5,435.77

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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.