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Finding the Fourth Proportional to 5,205.30, 7,807.95 and 2,127.30

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Solution

The fourth proportional to 5,205.30, 7,807.95 and 2,127.30 is: 3,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.30 : 7,807.95 = 2,127.30 : x
  2. Step 2: Convert to fraction form
    5,205.30/7,807.95 = 2,127.30/x
  3. Step 3: Cross multiply
    5,205.30x = 7,807.95 × 2,127.30
  4. Step 4: Simplify right side
    5,205.30x = 16,609,852.04
  5. Step 5: Solve for x
    x = 16,609,852.04/5,205.30
  6. Step 6: Final answer
    x = 3,190.95

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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.