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Finding the Fourth Proportional to 5,641.05, 7,785.93 and 3,283.54

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Solution

The fourth proportional to 5,641.05, 7,785.93 and 3,283.54 is: 4,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.05 : 7,785.93 = 3,283.54 : x
  2. Step 2: Convert to fraction form
    5,641.05/7,785.93 = 3,283.54/x
  3. Step 3: Cross multiply
    5,641.05x = 7,785.93 × 3,283.54
  4. Step 4: Simplify right side
    5,641.05x = 25,565,412.59
  5. Step 5: Solve for x
    x = 25,565,412.59/5,641.05
  6. Step 6: Final answer
    x = 4,532.03

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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.