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Finding the Fourth Proportional to 4,262.46, 5,882 and 2,373.94

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Solution

The fourth proportional to 4,262.46, 5,882 and 2,373.94 is: 3,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.46 : 5,882 = 2,373.94 : x
  2. Step 2: Convert to fraction form
    4,262.46/5,882 = 2,373.94/x
  3. Step 3: Cross multiply
    4,262.46x = 5,882 × 2,373.94
  4. Step 4: Simplify right side
    4,262.46x = 13,963,515.08
  5. Step 5: Solve for x
    x = 13,963,515.08/4,262.46
  6. Step 6: Final answer
    x = 3,275.93

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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.