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Finding the Fourth Proportional to 5,673.04, 7,826.61 and 4,184.49

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Solution

The fourth proportional to 5,673.04, 7,826.61 and 4,184.49 is: 5,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.04 : 7,826.61 = 4,184.49 : x
  2. Step 2: Convert to fraction form
    5,673.04/7,826.61 = 4,184.49/x
  3. Step 3: Cross multiply
    5,673.04x = 7,826.61 × 4,184.49
  4. Step 4: Simplify right side
    5,673.04x = 32,750,371.28
  5. Step 5: Solve for x
    x = 32,750,371.28/5,673.04
  6. Step 6: Final answer
    x = 5,772.98

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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.