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Finding the Fourth Proportional to 5,184.64, 7,776.96 and 1,289.05

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Solution

The fourth proportional to 5,184.64, 7,776.96 and 1,289.05 is: 1,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.64 : 7,776.96 = 1,289.05 : x
  2. Step 2: Convert to fraction form
    5,184.64/7,776.96 = 1,289.05/x
  3. Step 3: Cross multiply
    5,184.64x = 7,776.96 × 1,289.05
  4. Step 4: Simplify right side
    5,184.64x = 10,024,873.26
  5. Step 5: Solve for x
    x = 10,024,873.26/5,184.64
  6. Step 6: Final answer
    x = 1,933.57

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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.