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Finding the Fourth Proportional to 5,813.60, 8,724.06 and 2,116.08

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Solution

The fourth proportional to 5,813.60, 8,724.06 and 2,116.08 is: 3,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.60 : 8,724.06 = 2,116.08 : x
  2. Step 2: Convert to fraction form
    5,813.60/8,724.06 = 2,116.08/x
  3. Step 3: Cross multiply
    5,813.60x = 8,724.06 × 2,116.08
  4. Step 4: Simplify right side
    5,813.60x = 18,460,808.88
  5. Step 5: Solve for x
    x = 18,460,808.88/5,813.60
  6. Step 6: Final answer
    x = 3,175.45

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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.