Home / 5,828-8,042.56-3,470.08

Finding the Fourth Proportional to 5,828, 8,042.56 and 3,470.08

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Solution

The fourth proportional to 5,828, 8,042.56 and 3,470.08 is: 4,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828 : 8,042.56 = 3,470.08 : x
  2. Step 2: Convert to fraction form
    5,828/8,042.56 = 3,470.08/x
  3. Step 3: Cross multiply
    5,828x = 8,042.56 × 3,470.08
  4. Step 4: Simplify right side
    5,828x = 27,908,326.60
  5. Step 5: Solve for x
    x = 27,908,326.60/5,828
  6. Step 6: Final answer
    x = 4,788.66

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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.