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Finding the Fourth Proportional to 3,881.42, 5,823.14 and 2,495.45

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Solution

The fourth proportional to 3,881.42, 5,823.14 and 2,495.45 is: 3,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.42 : 5,823.14 = 2,495.45 : x
  2. Step 2: Convert to fraction form
    3,881.42/5,823.14 = 2,495.45/x
  3. Step 3: Cross multiply
    3,881.42x = 5,823.14 × 2,495.45
  4. Step 4: Simplify right side
    3,881.42x = 14,531,354.71
  5. Step 5: Solve for x
    x = 14,531,354.71/3,881.42
  6. Step 6: Final answer
    x = 3,743.82

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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.