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Finding the Fourth Proportional to 5,166.87, 7,130.43 and 3,178.59

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Solution

The fourth proportional to 5,166.87, 7,130.43 and 3,178.59 is: 4,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.87 : 7,130.43 = 3,178.59 : x
  2. Step 2: Convert to fraction form
    5,166.87/7,130.43 = 3,178.59/x
  3. Step 3: Cross multiply
    5,166.87x = 7,130.43 × 3,178.59
  4. Step 4: Simplify right side
    5,166.87x = 22,664,713.49
  5. Step 5: Solve for x
    x = 22,664,713.49/5,166.87
  6. Step 6: Final answer
    x = 4,386.55

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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.