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Finding the Fourth Proportional to 5,724.99, 8,588.72 and 1,776.17

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Solution

The fourth proportional to 5,724.99, 8,588.72 and 1,776.17 is: 2,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.99 : 8,588.72 = 1,776.17 : x
  2. Step 2: Convert to fraction form
    5,724.99/8,588.72 = 1,776.17/x
  3. Step 3: Cross multiply
    5,724.99x = 8,588.72 × 1,776.17
  4. Step 4: Simplify right side
    5,724.99x = 15,255,026.80
  5. Step 5: Solve for x
    x = 15,255,026.80/5,724.99
  6. Step 6: Final answer
    x = 2,664.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.