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Finding the Fourth Proportional to 5,166.76, 7,130.82 and 3,309.16

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Solution

The fourth proportional to 5,166.76, 7,130.82 and 3,309.16 is: 4,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.76 : 7,130.82 = 3,309.16 : x
  2. Step 2: Convert to fraction form
    5,166.76/7,130.82 = 3,309.16/x
  3. Step 3: Cross multiply
    5,166.76x = 7,130.82 × 3,309.16
  4. Step 4: Simplify right side
    5,166.76x = 23,597,024.31
  5. Step 5: Solve for x
    x = 23,597,024.31/5,166.76
  6. Step 6: Final answer
    x = 4,567.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.