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Finding the Fourth Proportional to 6,970.92, 10,459.88 and 2,589.36

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Solution

The fourth proportional to 6,970.92, 10,459.88 and 2,589.36 is: 3,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.92 : 10,459.88 = 2,589.36 : x
  2. Step 2: Convert to fraction form
    6,970.92/10,459.88 = 2,589.36/x
  3. Step 3: Cross multiply
    6,970.92x = 10,459.88 × 2,589.36
  4. Step 4: Simplify right side
    6,970.92x = 27,084,394.88
  5. Step 5: Solve for x
    x = 27,084,394.88/6,970.92
  6. Step 6: Final answer
    x = 3,885.34

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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.