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Finding the Fourth Proportional to 5,678.57, 8,516.84 and 1,728.87

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Solution

The fourth proportional to 5,678.57, 8,516.84 and 1,728.87 is: 2,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.57 : 8,516.84 = 1,728.87 : x
  2. Step 2: Convert to fraction form
    5,678.57/8,516.84 = 1,728.87/x
  3. Step 3: Cross multiply
    5,678.57x = 8,516.84 × 1,728.87
  4. Step 4: Simplify right side
    5,678.57x = 14,724,457.94
  5. Step 5: Solve for x
    x = 14,724,457.94/5,678.57
  6. Step 6: Final answer
    x = 2,592.99

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1.5x scale

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.