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Finding the Fourth Proportional to 4,539.40, 6,809.09 and 1,253.43

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Solution

The fourth proportional to 4,539.40, 6,809.09 and 1,253.43 is: 1,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.40 : 6,809.09 = 1,253.43 : x
  2. Step 2: Convert to fraction form
    4,539.40/6,809.09 = 1,253.43/x
  3. Step 3: Cross multiply
    4,539.40x = 6,809.09 × 1,253.43
  4. Step 4: Simplify right side
    4,539.40x = 8,534,711.41
  5. Step 5: Solve for x
    x = 8,534,711.41/4,539.40
  6. Step 6: Final answer
    x = 1,880.14

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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.