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Finding the Fourth Proportional to 5,264.34, 7,894.68 and 2,488.68

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Solution

The fourth proportional to 5,264.34, 7,894.68 and 2,488.68 is: 3,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.34 : 7,894.68 = 2,488.68 : x
  2. Step 2: Convert to fraction form
    5,264.34/7,894.68 = 2,488.68/x
  3. Step 3: Cross multiply
    5,264.34x = 7,894.68 × 2,488.68
  4. Step 4: Simplify right side
    5,264.34x = 19,647,332.22
  5. Step 5: Solve for x
    x = 19,647,332.22/5,264.34
  6. Step 6: Final answer
    x = 3,732.15

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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.