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Finding the Fourth Proportional to 5,165.60, 7,128.50 and 2,807.74

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Solution

The fourth proportional to 5,165.60, 7,128.50 and 2,807.74 is: 3,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.60 : 7,128.50 = 2,807.74 : x
  2. Step 2: Convert to fraction form
    5,165.60/7,128.50 = 2,807.74/x
  3. Step 3: Cross multiply
    5,165.60x = 7,128.50 × 2,807.74
  4. Step 4: Simplify right side
    5,165.60x = 20,014,938.95
  5. Step 5: Solve for x
    x = 20,014,938.95/5,165.60
  6. Step 6: Final answer
    x = 3,874.66

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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.