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Finding the Fourth Proportional to 5,674.04, 7,828.29 and 3,435.06

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Solution

The fourth proportional to 5,674.04, 7,828.29 and 3,435.06 is: 4,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.04 : 7,828.29 = 3,435.06 : x
  2. Step 2: Convert to fraction form
    5,674.04/7,828.29 = 3,435.06/x
  3. Step 3: Cross multiply
    5,674.04x = 7,828.29 × 3,435.06
  4. Step 4: Simplify right side
    5,674.04x = 26,890,645.85
  5. Step 5: Solve for x
    x = 26,890,645.85/5,674.04
  6. Step 6: Final answer
    x = 4,739.24

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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.