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Finding the Fourth Proportional to 5,309.52, 7,962.32 and 1,610.66

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Solution

The fourth proportional to 5,309.52, 7,962.32 and 1,610.66 is: 2,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.52 : 7,962.32 = 1,610.66 : x
  2. Step 2: Convert to fraction form
    5,309.52/7,962.32 = 1,610.66/x
  3. Step 3: Cross multiply
    5,309.52x = 7,962.32 × 1,610.66
  4. Step 4: Simplify right side
    5,309.52x = 12,824,590.33
  5. Step 5: Solve for x
    x = 12,824,590.33/5,309.52
  6. Step 6: Final answer
    x = 2,415.40

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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.