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Finding the Fourth Proportional to 5,228, 7,842.64 and 1,580

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Solution

The fourth proportional to 5,228, 7,842.64 and 1,580 is: 2,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228 : 7,842.64 = 1,580 : x
  2. Step 2: Convert to fraction form
    5,228/7,842.64 = 1,580/x
  3. Step 3: Cross multiply
    5,228x = 7,842.64 × 1,580
  4. Step 4: Simplify right side
    5,228x = 12,391,371.20
  5. Step 5: Solve for x
    x = 12,391,371.20/5,228
  6. Step 6: Final answer
    x = 2,370.19

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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.