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Finding the Fourth Proportional to 3,574.85, 5,362.55 and 1,203.28

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Solution

The fourth proportional to 3,574.85, 5,362.55 and 1,203.28 is: 1,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.85 : 5,362.55 = 1,203.28 : x
  2. Step 2: Convert to fraction form
    3,574.85/5,362.55 = 1,203.28/x
  3. Step 3: Cross multiply
    3,574.85x = 5,362.55 × 1,203.28
  4. Step 4: Simplify right side
    3,574.85x = 6,452,649.16
  5. Step 5: Solve for x
    x = 6,452,649.16/3,574.85
  6. Step 6: Final answer
    x = 1,805.01

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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.