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Finding the Fourth Proportional to 4,670.10, 7,005.15 and 2,589.12

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Solution

The fourth proportional to 4,670.10, 7,005.15 and 2,589.12 is: 3,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.10 : 7,005.15 = 2,589.12 : x
  2. Step 2: Convert to fraction form
    4,670.10/7,005.15 = 2,589.12/x
  3. Step 3: Cross multiply
    4,670.10x = 7,005.15 × 2,589.12
  4. Step 4: Simplify right side
    4,670.10x = 18,137,173.97
  5. Step 5: Solve for x
    x = 18,137,173.97/4,670.10
  6. Step 6: Final answer
    x = 3,883.68

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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.