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Finding the Fourth Proportional to 5,931.82, 8,160.30 and 5,129.16

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Solution

The fourth proportional to 5,931.82, 8,160.30 and 5,129.16 is: 7,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.82 : 8,160.30 = 5,129.16 : x
  2. Step 2: Convert to fraction form
    5,931.82/8,160.30 = 5,129.16/x
  3. Step 3: Cross multiply
    5,931.82x = 8,160.30 × 5,129.16
  4. Step 4: Simplify right side
    5,931.82x = 41,855,443.55
  5. Step 5: Solve for x
    x = 41,855,443.55/5,931.82
  6. Step 6: Final answer
    x = 7,056.09

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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.