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Finding the Fourth Proportional to 5,698.69, 7,854.78 and 3,809.58

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Solution

The fourth proportional to 5,698.69, 7,854.78 and 3,809.58 is: 5,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.69 : 7,854.78 = 3,809.58 : x
  2. Step 2: Convert to fraction form
    5,698.69/7,854.78 = 3,809.58/x
  3. Step 3: Cross multiply
    5,698.69x = 7,854.78 × 3,809.58
  4. Step 4: Simplify right side
    5,698.69x = 29,923,412.79
  5. Step 5: Solve for x
    x = 29,923,412.79/5,698.69
  6. Step 6: Final answer
    x = 5,250.93

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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.