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Finding the Fourth Proportional to 5,262.71, 7,262.16 and 3,024.57

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Solution

The fourth proportional to 5,262.71, 7,262.16 and 3,024.57 is: 4,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.71 : 7,262.16 = 3,024.57 : x
  2. Step 2: Convert to fraction form
    5,262.71/7,262.16 = 3,024.57/x
  3. Step 3: Cross multiply
    5,262.71x = 7,262.16 × 3,024.57
  4. Step 4: Simplify right side
    5,262.71x = 21,964,927.16
  5. Step 5: Solve for x
    x = 21,964,927.16/5,262.71
  6. Step 6: Final answer
    x = 4,173.70

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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.