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Finding the Fourth Proportional to 5,828.55, 8,040.24 and 3,470.24

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Solution

The fourth proportional to 5,828.55, 8,040.24 and 3,470.24 is: 4,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.55 : 8,040.24 = 3,470.24 : x
  2. Step 2: Convert to fraction form
    5,828.55/8,040.24 = 3,470.24/x
  3. Step 3: Cross multiply
    5,828.55x = 8,040.24 × 3,470.24
  4. Step 4: Simplify right side
    5,828.55x = 27,901,522.26
  5. Step 5: Solve for x
    x = 27,901,522.26/5,828.55
  6. Step 6: Final answer
    x = 4,787.04

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1.5x scale

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.