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Finding the Fourth Proportional to 3,576.64, 5,368.42 and 1,729.06

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Solution

The fourth proportional to 3,576.64, 5,368.42 and 1,729.06 is: 2,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.64 : 5,368.42 = 1,729.06 : x
  2. Step 2: Convert to fraction form
    3,576.64/5,368.42 = 1,729.06/x
  3. Step 3: Cross multiply
    3,576.64x = 5,368.42 × 1,729.06
  4. Step 4: Simplify right side
    3,576.64x = 9,282,320.29
  5. Step 5: Solve for x
    x = 9,282,320.29/3,576.64
  6. Step 6: Final answer
    x = 2,595.26

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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.