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Finding the Fourth Proportional to 3,876.48, 5,846.40 and 3,807.36

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Solution

The fourth proportional to 3,876.48, 5,846.40 and 3,807.36 is: 5,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.48 : 5,846.40 = 3,807.36 : x
  2. Step 2: Convert to fraction form
    3,876.48/5,846.40 = 3,807.36/x
  3. Step 3: Cross multiply
    3,876.48x = 5,846.40 × 3,807.36
  4. Step 4: Simplify right side
    3,876.48x = 22,259,349.50
  5. Step 5: Solve for x
    x = 22,259,349.50/3,876.48
  6. Step 6: Final answer
    x = 5,742.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.