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Finding the Fourth Proportional to 4,539.40, 6,809.10 and 4,029.10

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Solution

The fourth proportional to 4,539.40, 6,809.10 and 4,029.10 is: 6,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.40 : 6,809.10 = 4,029.10 : x
  2. Step 2: Convert to fraction form
    4,539.40/6,809.10 = 4,029.10/x
  3. Step 3: Cross multiply
    4,539.40x = 6,809.10 × 4,029.10
  4. Step 4: Simplify right side
    4,539.40x = 27,434,544.81
  5. Step 5: Solve for x
    x = 27,434,544.81/4,539.40
  6. Step 6: Final answer
    x = 6,043.65

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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.