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Finding the Fourth Proportional to 3,483.48, 4,807.46 and 1,991.46

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Solution

The fourth proportional to 3,483.48, 4,807.46 and 1,991.46 is: 2,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.48 : 4,807.46 = 1,991.46 : x
  2. Step 2: Convert to fraction form
    3,483.48/4,807.46 = 1,991.46/x
  3. Step 3: Cross multiply
    3,483.48x = 4,807.46 × 1,991.46
  4. Step 4: Simplify right side
    3,483.48x = 9,573,864.29
  5. Step 5: Solve for x
    x = 9,573,864.29/3,483.48
  6. Step 6: Final answer
    x = 2,748.36

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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.