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Finding the Fourth Proportional to 3,574.50, 5,361.74 and 1,264.38

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Solution

The fourth proportional to 3,574.50, 5,361.74 and 1,264.38 is: 1,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.50 : 5,361.74 = 1,264.38 : x
  2. Step 2: Convert to fraction form
    3,574.50/5,361.74 = 1,264.38/x
  3. Step 3: Cross multiply
    3,574.50x = 5,361.74 × 1,264.38
  4. Step 4: Simplify right side
    3,574.50x = 6,779,276.82
  5. Step 5: Solve for x
    x = 6,779,276.82/3,574.50
  6. Step 6: Final answer
    x = 1,896.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.