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Finding the Fourth Proportional to 4,893.96, 7,340.04 and 4,647.72

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Solution

The fourth proportional to 4,893.96, 7,340.04 and 4,647.72 is: 6,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.96 : 7,340.04 = 4,647.72 : x
  2. Step 2: Convert to fraction form
    4,893.96/7,340.04 = 4,647.72/x
  3. Step 3: Cross multiply
    4,893.96x = 7,340.04 × 4,647.72
  4. Step 4: Simplify right side
    4,893.96x = 34,114,450.71
  5. Step 5: Solve for x
    x = 34,114,450.71/4,893.96
  6. Step 6: Final answer
    x = 6,970.73

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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.