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Finding the Fourth Proportional to 5,209.32, 7,810.90 and 2,043

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Solution

The fourth proportional to 5,209.32, 7,810.90 and 2,043 is: 3,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.32 : 7,810.90 = 2,043 : x
  2. Step 2: Convert to fraction form
    5,209.32/7,810.90 = 2,043/x
  3. Step 3: Cross multiply
    5,209.32x = 7,810.90 × 2,043
  4. Step 4: Simplify right side
    5,209.32x = 15,957,668.70
  5. Step 5: Solve for x
    x = 15,957,668.70/5,209.32
  6. Step 6: Final answer
    x = 3,063.29

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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.