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Finding the Fourth Proportional to 3,609.70, 5,426.70 and 3,075.10

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Solution

The fourth proportional to 3,609.70, 5,426.70 and 3,075.10 is: 4,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.70 : 5,426.70 = 3,075.10 : x
  2. Step 2: Convert to fraction form
    3,609.70/5,426.70 = 3,075.10/x
  3. Step 3: Cross multiply
    3,609.70x = 5,426.70 × 3,075.10
  4. Step 4: Simplify right side
    3,609.70x = 16,687,645.17
  5. Step 5: Solve for x
    x = 16,687,645.17/3,609.70
  6. Step 6: Final answer
    x = 4,623.00

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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.