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Finding the Fourth Proportional to 5,205.44, 7,804.50 and 1,918.10

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Solution

The fourth proportional to 5,205.44, 7,804.50 and 1,918.10 is: 2,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.44 : 7,804.50 = 1,918.10 : x
  2. Step 2: Convert to fraction form
    5,205.44/7,804.50 = 1,918.10/x
  3. Step 3: Cross multiply
    5,205.44x = 7,804.50 × 1,918.10
  4. Step 4: Simplify right side
    5,205.44x = 14,969,811.45
  5. Step 5: Solve for x
    x = 14,969,811.45/5,205.44
  6. Step 6: Final answer
    x = 2,875.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.