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Finding the Fourth Proportional to 3,587.90, 5,382.25 and 955.51

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Solution

The fourth proportional to 3,587.90, 5,382.25 and 955.51 is: 1,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.90 : 5,382.25 = 955.51 : x
  2. Step 2: Convert to fraction form
    3,587.90/5,382.25 = 955.51/x
  3. Step 3: Cross multiply
    3,587.90x = 5,382.25 × 955.51
  4. Step 4: Simplify right side
    3,587.90x = 5,142,777.85
  5. Step 5: Solve for x
    x = 5,142,777.85/3,587.90
  6. Step 6: Final answer
    x = 1,433.37

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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.