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Finding the Fourth Proportional to 5,724.30, 8,586.44 and 1,829

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Solution

The fourth proportional to 5,724.30, 8,586.44 and 1,829 is: 2,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.30 : 8,586.44 = 1,829 : x
  2. Step 2: Convert to fraction form
    5,724.30/8,586.44 = 1,829/x
  3. Step 3: Cross multiply
    5,724.30x = 8,586.44 × 1,829
  4. Step 4: Simplify right side
    5,724.30x = 15,704,598.76
  5. Step 5: Solve for x
    x = 15,704,598.76/5,724.30
  6. Step 6: Final answer
    x = 2,743.50

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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.