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Finding the Fourth Proportional to 4,931.88, 7,397.98 and 1,645.26

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Solution

The fourth proportional to 4,931.88, 7,397.98 and 1,645.26 is: 2,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.88 : 7,397.98 = 1,645.26 : x
  2. Step 2: Convert to fraction form
    4,931.88/7,397.98 = 1,645.26/x
  3. Step 3: Cross multiply
    4,931.88x = 7,397.98 × 1,645.26
  4. Step 4: Simplify right side
    4,931.88x = 12,171,600.57
  5. Step 5: Solve for x
    x = 12,171,600.57/4,931.88
  6. Step 6: Final answer
    x = 2,467.94

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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.