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Finding the Fourth Proportional to 4,691.74, 7,038.57 and 2,353.27

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Solution

The fourth proportional to 4,691.74, 7,038.57 and 2,353.27 is: 3,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.74 : 7,038.57 = 2,353.27 : x
  2. Step 2: Convert to fraction form
    4,691.74/7,038.57 = 2,353.27/x
  3. Step 3: Cross multiply
    4,691.74x = 7,038.57 × 2,353.27
  4. Step 4: Simplify right side
    4,691.74x = 16,563,655.62
  5. Step 5: Solve for x
    x = 16,563,655.62/4,691.74
  6. Step 6: Final answer
    x = 3,530.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.