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Finding the Fourth Proportional to 5,687.40, 8,532.30 and 1,792.08

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Solution

The fourth proportional to 5,687.40, 8,532.30 and 1,792.08 is: 2,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.40 : 8,532.30 = 1,792.08 : x
  2. Step 2: Convert to fraction form
    5,687.40/8,532.30 = 1,792.08/x
  3. Step 3: Cross multiply
    5,687.40x = 8,532.30 × 1,792.08
  4. Step 4: Simplify right side
    5,687.40x = 15,290,564.18
  5. Step 5: Solve for x
    x = 15,290,564.18/5,687.40
  6. Step 6: Final answer
    x = 2,688.50

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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.