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Finding the Fourth Proportional to 5,109.78, 7,058.43 and 4,004.67

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Solution

The fourth proportional to 5,109.78, 7,058.43 and 4,004.67 is: 5,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.78 : 7,058.43 = 4,004.67 : x
  2. Step 2: Convert to fraction form
    5,109.78/7,058.43 = 4,004.67/x
  3. Step 3: Cross multiply
    5,109.78x = 7,058.43 × 4,004.67
  4. Step 4: Simplify right side
    5,109.78x = 28,266,682.87
  5. Step 5: Solve for x
    x = 28,266,682.87/5,109.78
  6. Step 6: Final answer
    x = 5,531.88

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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.