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Finding the Fourth Proportional to 5,730.79, 8,596.64 and 1,835.20

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Solution

The fourth proportional to 5,730.79, 8,596.64 and 1,835.20 is: 2,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.79 : 8,596.64 = 1,835.20 : x
  2. Step 2: Convert to fraction form
    5,730.79/8,596.64 = 1,835.20/x
  3. Step 3: Cross multiply
    5,730.79x = 8,596.64 × 1,835.20
  4. Step 4: Simplify right side
    5,730.79x = 15,776,553.73
  5. Step 5: Solve for x
    x = 15,776,553.73/5,730.79
  6. Step 6: Final answer
    x = 2,752.95

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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.