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Finding the Fourth Proportional to 3,531.77, 5,297.80 and 1,066.59

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Solution

The fourth proportional to 3,531.77, 5,297.80 and 1,066.59 is: 1,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.77 : 5,297.80 = 1,066.59 : x
  2. Step 2: Convert to fraction form
    3,531.77/5,297.80 = 1,066.59/x
  3. Step 3: Cross multiply
    3,531.77x = 5,297.80 × 1,066.59
  4. Step 4: Simplify right side
    3,531.77x = 5,650,580.50
  5. Step 5: Solve for x
    x = 5,650,580.50/3,531.77
  6. Step 6: Final answer
    x = 1,599.93

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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.