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Finding the Fourth Proportional to 5,662.16, 8,490.15 and 1,964.10

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Solution

The fourth proportional to 5,662.16, 8,490.15 and 1,964.10 is: 2,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.16 : 8,490.15 = 1,964.10 : x
  2. Step 2: Convert to fraction form
    5,662.16/8,490.15 = 1,964.10/x
  3. Step 3: Cross multiply
    5,662.16x = 8,490.15 × 1,964.10
  4. Step 4: Simplify right side
    5,662.16x = 16,675,503.62
  5. Step 5: Solve for x
    x = 16,675,503.62/5,662.16
  6. Step 6: Final answer
    x = 2,945.08

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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.