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Finding the Fourth Proportional to 3,807.72, 5,254.68 and 2,235.84

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Solution

The fourth proportional to 3,807.72, 5,254.68 and 2,235.84 is: 3,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.72 : 5,254.68 = 2,235.84 : x
  2. Step 2: Convert to fraction form
    3,807.72/5,254.68 = 2,235.84/x
  3. Step 3: Cross multiply
    3,807.72x = 5,254.68 × 2,235.84
  4. Step 4: Simplify right side
    3,807.72x = 11,748,623.73
  5. Step 5: Solve for x
    x = 11,748,623.73/3,807.72
  6. Step 6: Final answer
    x = 3,085.47

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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.