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Finding the Fourth Proportional to 3,807.63, 5,254.73 and 2,315.30

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Solution

The fourth proportional to 3,807.63, 5,254.73 and 2,315.30 is: 3,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.63 : 5,254.73 = 2,315.30 : x
  2. Step 2: Convert to fraction form
    3,807.63/5,254.73 = 2,315.30/x
  3. Step 3: Cross multiply
    3,807.63x = 5,254.73 × 2,315.30
  4. Step 4: Simplify right side
    3,807.63x = 12,166,276.37
  5. Step 5: Solve for x
    x = 12,166,276.37/3,807.63
  6. Step 6: Final answer
    x = 3,195.24

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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.