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Finding the Fourth Proportional to 5,707.26, 7,877.52 and 3,470.58

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Solution

The fourth proportional to 5,707.26, 7,877.52 and 3,470.58 is: 4,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.26 : 7,877.52 = 3,470.58 : x
  2. Step 2: Convert to fraction form
    5,707.26/7,877.52 = 3,470.58/x
  3. Step 3: Cross multiply
    5,707.26x = 7,877.52 × 3,470.58
  4. Step 4: Simplify right side
    5,707.26x = 27,339,563.36
  5. Step 5: Solve for x
    x = 27,339,563.36/5,707.26
  6. Step 6: Final answer
    x = 4,790.31

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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.