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Finding the Fourth Proportional to 5,672.04, 7,827.84 and 3,154.35

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Solution

The fourth proportional to 5,672.04, 7,827.84 and 3,154.35 is: 4,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.04 : 7,827.84 = 3,154.35 : x
  2. Step 2: Convert to fraction form
    5,672.04/7,827.84 = 3,154.35/x
  3. Step 3: Cross multiply
    5,672.04x = 7,827.84 × 3,154.35
  4. Step 4: Simplify right side
    5,672.04x = 24,691,747.10
  5. Step 5: Solve for x
    x = 24,691,747.10/5,672.04
  6. Step 6: Final answer
    x = 4,353.24

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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.