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Finding the Fourth Proportional to 3,536.96, 5,281.52 and 3,075.80

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Solution

The fourth proportional to 3,536.96, 5,281.52 and 3,075.80 is: 4,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.96 : 5,281.52 = 3,075.80 : x
  2. Step 2: Convert to fraction form
    3,536.96/5,281.52 = 3,075.80/x
  3. Step 3: Cross multiply
    3,536.96x = 5,281.52 × 3,075.80
  4. Step 4: Simplify right side
    3,536.96x = 16,244,857.43
  5. Step 5: Solve for x
    x = 16,244,857.43/3,536.96
  6. Step 6: Final answer
    x = 4,592.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.