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Finding the Fourth Proportional to 3,531.03, 5,297.31 and 1,065.66

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Solution

The fourth proportional to 3,531.03, 5,297.31 and 1,065.66 is: 1,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.03 : 5,297.31 = 1,065.66 : x
  2. Step 2: Convert to fraction form
    3,531.03/5,297.31 = 1,065.66/x
  3. Step 3: Cross multiply
    3,531.03x = 5,297.31 × 1,065.66
  4. Step 4: Simplify right side
    3,531.03x = 5,645,131.37
  5. Step 5: Solve for x
    x = 5,645,131.37/3,531.03
  6. Step 6: Final answer
    x = 1,598.72

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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.