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Finding the Fourth Proportional to 5,166.15, 7,749.74 and 1,655.27

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Solution

The fourth proportional to 5,166.15, 7,749.74 and 1,655.27 is: 2,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.15 : 7,749.74 = 1,655.27 : x
  2. Step 2: Convert to fraction form
    5,166.15/7,749.74 = 1,655.27/x
  3. Step 3: Cross multiply
    5,166.15x = 7,749.74 × 1,655.27
  4. Step 4: Simplify right side
    5,166.15x = 12,827,903.85
  5. Step 5: Solve for x
    x = 12,827,903.85/5,166.15
  6. Step 6: Final answer
    x = 2,483.07

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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.