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Finding the Fourth Proportional to 5,165.32, 7,128.19 and 2,807.46

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Solution

The fourth proportional to 5,165.32, 7,128.19 and 2,807.46 is: 3,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.32 : 7,128.19 = 2,807.46 : x
  2. Step 2: Convert to fraction form
    5,165.32/7,128.19 = 2,807.46/x
  3. Step 3: Cross multiply
    5,165.32x = 7,128.19 × 2,807.46
  4. Step 4: Simplify right side
    5,165.32x = 20,012,094.26
  5. Step 5: Solve for x
    x = 20,012,094.26/5,165.32
  6. Step 6: Final answer
    x = 3,874.32

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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.