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Finding the Fourth Proportional to 5,262.92, 7,264.48 and 3,140

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Solution

The fourth proportional to 5,262.92, 7,264.48 and 3,140 is: 4,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.92 : 7,264.48 = 3,140 : x
  2. Step 2: Convert to fraction form
    5,262.92/7,264.48 = 3,140/x
  3. Step 3: Cross multiply
    5,262.92x = 7,264.48 × 3,140
  4. Step 4: Simplify right side
    5,262.92x = 22,810,467.20
  5. Step 5: Solve for x
    x = 22,810,467.20/5,262.92
  6. Step 6: Final answer
    x = 4,334.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.