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Finding the Fourth Proportional to 5,865.96, 8,798.82 and 1,705.80

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Solution

The fourth proportional to 5,865.96, 8,798.82 and 1,705.80 is: 2,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.96 : 8,798.82 = 1,705.80 : x
  2. Step 2: Convert to fraction form
    5,865.96/8,798.82 = 1,705.80/x
  3. Step 3: Cross multiply
    5,865.96x = 8,798.82 × 1,705.80
  4. Step 4: Simplify right side
    5,865.96x = 15,009,027.16
  5. Step 5: Solve for x
    x = 15,009,027.16/5,865.96
  6. Step 6: Final answer
    x = 2,558.67

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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.