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Finding the Fourth Proportional to 4,730.28, 7,083.96 and 4,032.96

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Solution

The fourth proportional to 4,730.28, 7,083.96 and 4,032.96 is: 6,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.28 : 7,083.96 = 4,032.96 : x
  2. Step 2: Convert to fraction form
    4,730.28/7,083.96 = 4,032.96/x
  3. Step 3: Cross multiply
    4,730.28x = 7,083.96 × 4,032.96
  4. Step 4: Simplify right side
    4,730.28x = 28,569,327.32
  5. Step 5: Solve for x
    x = 28,569,327.32/4,730.28
  6. Step 6: Final answer
    x = 6,039.67

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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.