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Finding the Fourth Proportional to 5,776.36, 8,659.74 and 3,313

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Solution

The fourth proportional to 5,776.36, 8,659.74 and 3,313 is: 4,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.36 : 8,659.74 = 3,313 : x
  2. Step 2: Convert to fraction form
    5,776.36/8,659.74 = 3,313/x
  3. Step 3: Cross multiply
    5,776.36x = 8,659.74 × 3,313
  4. Step 4: Simplify right side
    5,776.36x = 28,689,718.62
  5. Step 5: Solve for x
    x = 28,689,718.62/5,776.36
  6. Step 6: Final answer
    x = 4,966.75

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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.