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Finding the Fourth Proportional to 4,977.41, 7,467.27 and 1,690.51

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Solution

The fourth proportional to 4,977.41, 7,467.27 and 1,690.51 is: 2,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.41 : 7,467.27 = 1,690.51 : x
  2. Step 2: Convert to fraction form
    4,977.41/7,467.27 = 1,690.51/x
  3. Step 3: Cross multiply
    4,977.41x = 7,467.27 × 1,690.51
  4. Step 4: Simplify right side
    4,977.41x = 12,623,480.17
  5. Step 5: Solve for x
    x = 12,623,480.17/4,977.41
  6. Step 6: Final answer
    x = 2,536.15

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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.