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Finding the Fourth Proportional to 3,567.86, 5,351.62 and 935.30

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Solution

The fourth proportional to 3,567.86, 5,351.62 and 935.30 is: 1,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.86 : 5,351.62 = 935.30 : x
  2. Step 2: Convert to fraction form
    3,567.86/5,351.62 = 935.30/x
  3. Step 3: Cross multiply
    3,567.86x = 5,351.62 × 935.30
  4. Step 4: Simplify right side
    3,567.86x = 5,005,341.09
  5. Step 5: Solve for x
    x = 5,005,341.09/3,567.86
  6. Step 6: Final answer
    x = 1,402.90

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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.