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Finding the Fourth Proportional to 5,166.48, 7,749.77 and 1,656.54

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Solution

The fourth proportional to 5,166.48, 7,749.77 and 1,656.54 is: 2,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.48 : 7,749.77 = 1,656.54 : x
  2. Step 2: Convert to fraction form
    5,166.48/7,749.77 = 1,656.54/x
  3. Step 3: Cross multiply
    5,166.48x = 7,749.77 × 1,656.54
  4. Step 4: Simplify right side
    5,166.48x = 12,837,795.71
  5. Step 5: Solve for x
    x = 12,837,795.71/5,166.48
  6. Step 6: Final answer
    x = 2,484.82

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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.