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Finding the Fourth Proportional to 3,544.76, 4,892.40 and 2,053.05

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Solution

The fourth proportional to 3,544.76, 4,892.40 and 2,053.05 is: 2,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.76 : 4,892.40 = 2,053.05 : x
  2. Step 2: Convert to fraction form
    3,544.76/4,892.40 = 2,053.05/x
  3. Step 3: Cross multiply
    3,544.76x = 4,892.40 × 2,053.05
  4. Step 4: Simplify right side
    3,544.76x = 10,044,323.47
  5. Step 5: Solve for x
    x = 10,044,323.47/3,544.76
  6. Step 6: Final answer
    x = 2,833.57

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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.