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Finding the Fourth Proportional to 5,004.49, 6,919.32 and 4,164.88

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Solution

The fourth proportional to 5,004.49, 6,919.32 and 4,164.88 is: 5,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.49 : 6,919.32 = 4,164.88 : x
  2. Step 2: Convert to fraction form
    5,004.49/6,919.32 = 4,164.88/x
  3. Step 3: Cross multiply
    5,004.49x = 6,919.32 × 4,164.88
  4. Step 4: Simplify right side
    5,004.49x = 28,818,137.48
  5. Step 5: Solve for x
    x = 28,818,137.48/5,004.49
  6. Step 6: Final answer
    x = 5,758.46

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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.