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Finding the Fourth Proportional to 5,567.74, 7,685.48 and 3,798.09

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Solution

The fourth proportional to 5,567.74, 7,685.48 and 3,798.09 is: 5,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.74 : 7,685.48 = 3,798.09 : x
  2. Step 2: Convert to fraction form
    5,567.74/7,685.48 = 3,798.09/x
  3. Step 3: Cross multiply
    5,567.74x = 7,685.48 × 3,798.09
  4. Step 4: Simplify right side
    5,567.74x = 29,190,154.23
  5. Step 5: Solve for x
    x = 29,190,154.23/5,567.74
  6. Step 6: Final answer
    x = 5,242.73

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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.