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Finding the Fourth Proportional to 4,652.68, 6,945.13 and 4,310.04

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Solution

The fourth proportional to 4,652.68, 6,945.13 and 4,310.04 is: 6,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.68 : 6,945.13 = 4,310.04 : x
  2. Step 2: Convert to fraction form
    4,652.68/6,945.13 = 4,310.04/x
  3. Step 3: Cross multiply
    4,652.68x = 6,945.13 × 4,310.04
  4. Step 4: Simplify right side
    4,652.68x = 29,933,788.11
  5. Step 5: Solve for x
    x = 29,933,788.11/4,652.68
  6. Step 6: Final answer
    x = 6,433.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.