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Finding the Fourth Proportional to 5,165.76, 7,128.64 and 2,807.98

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Solution

The fourth proportional to 5,165.76, 7,128.64 and 2,807.98 is: 3,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.76 : 7,128.64 = 2,807.98 : x
  2. Step 2: Convert to fraction form
    5,165.76/7,128.64 = 2,807.98/x
  3. Step 3: Cross multiply
    5,165.76x = 7,128.64 × 2,807.98
  4. Step 4: Simplify right side
    5,165.76x = 20,017,078.55
  5. Step 5: Solve for x
    x = 20,017,078.55/5,165.76
  6. Step 6: Final answer
    x = 3,874.95

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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.