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Finding the Fourth Proportional to 5,075.70, 7,613.46 and 2,609.08

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Solution

The fourth proportional to 5,075.70, 7,613.46 and 2,609.08 is: 3,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.70 : 7,613.46 = 2,609.08 : x
  2. Step 2: Convert to fraction form
    5,075.70/7,613.46 = 2,609.08/x
  3. Step 3: Cross multiply
    5,075.70x = 7,613.46 × 2,609.08
  4. Step 4: Simplify right side
    5,075.70x = 19,864,126.22
  5. Step 5: Solve for x
    x = 19,864,126.22/5,075.70
  6. Step 6: Final answer
    x = 3,913.57

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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.