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Finding the Fourth Proportional to 5,166.90, 7,750.23 and 1,656.91

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Solution

The fourth proportional to 5,166.90, 7,750.23 and 1,656.91 is: 2,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.90 : 7,750.23 = 1,656.91 : x
  2. Step 2: Convert to fraction form
    5,166.90/7,750.23 = 1,656.91/x
  3. Step 3: Cross multiply
    5,166.90x = 7,750.23 × 1,656.91
  4. Step 4: Simplify right side
    5,166.90x = 12,841,468.18
  5. Step 5: Solve for x
    x = 12,841,468.18/5,166.90
  6. Step 6: Final answer
    x = 2,485.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.