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Finding the Fourth Proportional to 5,890.49, 8,835.65 and 1,730.34

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Solution

The fourth proportional to 5,890.49, 8,835.65 and 1,730.34 is: 2,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.49 : 8,835.65 = 1,730.34 : x
  2. Step 2: Convert to fraction form
    5,890.49/8,835.65 = 1,730.34/x
  3. Step 3: Cross multiply
    5,890.49x = 8,835.65 × 1,730.34
  4. Step 4: Simplify right side
    5,890.49x = 15,288,678.62
  5. Step 5: Solve for x
    x = 15,288,678.62/5,890.49
  6. Step 6: Final answer
    x = 2,595.49

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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.