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Finding the Fourth Proportional to 3,686.64, 5,531.34 and 1,713.24

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Solution

The fourth proportional to 3,686.64, 5,531.34 and 1,713.24 is: 2,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.64 : 5,531.34 = 1,713.24 : x
  2. Step 2: Convert to fraction form
    3,686.64/5,531.34 = 1,713.24/x
  3. Step 3: Cross multiply
    3,686.64x = 5,531.34 × 1,713.24
  4. Step 4: Simplify right side
    3,686.64x = 9,476,512.94
  5. Step 5: Solve for x
    x = 9,476,512.94/3,686.64
  6. Step 6: Final answer
    x = 2,570.50

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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.