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Finding the Fourth Proportional to 5,206.13, 7,807.20 and 1,873.49

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Solution

The fourth proportional to 5,206.13, 7,807.20 and 1,873.49 is: 2,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.13 : 7,807.20 = 1,873.49 : x
  2. Step 2: Convert to fraction form
    5,206.13/7,807.20 = 1,873.49/x
  3. Step 3: Cross multiply
    5,206.13x = 7,807.20 × 1,873.49
  4. Step 4: Simplify right side
    5,206.13x = 14,626,672.09
  5. Step 5: Solve for x
    x = 14,626,672.09/5,206.13
  6. Step 6: Final answer
    x = 2,809.51

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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.