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Finding the Fourth Proportional to 5,828.63, 8,045.60 and 3,470.72

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Solution

The fourth proportional to 5,828.63, 8,045.60 and 3,470.72 is: 4,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.63 : 8,045.60 = 3,470.72 : x
  2. Step 2: Convert to fraction form
    5,828.63/8,045.60 = 3,470.72/x
  3. Step 3: Cross multiply
    5,828.63x = 8,045.60 × 3,470.72
  4. Step 4: Simplify right side
    5,828.63x = 27,923,967.25
  5. Step 5: Solve for x
    x = 27,923,967.25/5,828.63
  6. Step 6: Final answer
    x = 4,790.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.