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Finding the Fourth Proportional to 3,075.49, 4,609.99 and 1,533.25

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Solution

The fourth proportional to 3,075.49, 4,609.99 and 1,533.25 is: 2,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.49 : 4,609.99 = 1,533.25 : x
  2. Step 2: Convert to fraction form
    3,075.49/4,609.99 = 1,533.25/x
  3. Step 3: Cross multiply
    3,075.49x = 4,609.99 × 1,533.25
  4. Step 4: Simplify right side
    3,075.49x = 7,068,267.17
  5. Step 5: Solve for x
    x = 7,068,267.17/3,075.49
  6. Step 6: Final answer
    x = 2,298.26

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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.