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Finding the Fourth Proportional to 5,641.83, 7,785.36 and 3,123.80

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Solution

The fourth proportional to 5,641.83, 7,785.36 and 3,123.80 is: 4,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.83 : 7,785.36 = 3,123.80 : x
  2. Step 2: Convert to fraction form
    5,641.83/7,785.36 = 3,123.80/x
  3. Step 3: Cross multiply
    5,641.83x = 7,785.36 × 3,123.80
  4. Step 4: Simplify right side
    5,641.83x = 24,319,868.64
  5. Step 5: Solve for x
    x = 24,319,868.64/5,641.83
  6. Step 6: Final answer
    x = 4,310.63

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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.