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Finding the Fourth Proportional to 4,537.80, 6,806.70 and 2,809.80

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Solution

The fourth proportional to 4,537.80, 6,806.70 and 2,809.80 is: 4,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.80 : 6,806.70 = 2,809.80 : x
  2. Step 2: Convert to fraction form
    4,537.80/6,806.70 = 2,809.80/x
  3. Step 3: Cross multiply
    4,537.80x = 6,806.70 × 2,809.80
  4. Step 4: Simplify right side
    4,537.80x = 19,125,465.66
  5. Step 5: Solve for x
    x = 19,125,465.66/4,537.80
  6. Step 6: Final answer
    x = 4,214.70

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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.