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Finding the Fourth Proportional to 4,620.07, 6,930.11 and 1,157.32

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Solution

The fourth proportional to 4,620.07, 6,930.11 and 1,157.32 is: 1,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.07 : 6,930.11 = 1,157.32 : x
  2. Step 2: Convert to fraction form
    4,620.07/6,930.11 = 1,157.32/x
  3. Step 3: Cross multiply
    4,620.07x = 6,930.11 × 1,157.32
  4. Step 4: Simplify right side
    4,620.07x = 8,020,354.91
  5. Step 5: Solve for x
    x = 8,020,354.91/4,620.07
  6. Step 6: Final answer
    x = 1,735.98

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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.