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Finding the Fourth Proportional to 4,673.20, 7,005.34 and 3,289.72

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Solution

The fourth proportional to 4,673.20, 7,005.34 and 3,289.72 is: 4,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.20 : 7,005.34 = 3,289.72 : x
  2. Step 2: Convert to fraction form
    4,673.20/7,005.34 = 3,289.72/x
  3. Step 3: Cross multiply
    4,673.20x = 7,005.34 × 3,289.72
  4. Step 4: Simplify right side
    4,673.20x = 23,045,607.10
  5. Step 5: Solve for x
    x = 23,045,607.10/4,673.20
  6. Step 6: Final answer
    x = 4,931.44

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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.