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Finding the Fourth Proportional to 3,544.68, 4,892.58 and 2,053.50

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Solution

The fourth proportional to 3,544.68, 4,892.58 and 2,053.50 is: 2,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.68 : 4,892.58 = 2,053.50 : x
  2. Step 2: Convert to fraction form
    3,544.68/4,892.58 = 2,053.50/x
  3. Step 3: Cross multiply
    3,544.68x = 4,892.58 × 2,053.50
  4. Step 4: Simplify right side
    3,544.68x = 10,046,913.03
  5. Step 5: Solve for x
    x = 10,046,913.03/3,544.68
  6. Step 6: Final answer
    x = 2,834.36

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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.