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Finding the Fourth Proportional to 4,977, 7,465.50 and 1,329

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Solution

The fourth proportional to 4,977, 7,465.50 and 1,329 is: 1,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 7,465.50 = 1,329 : x
  2. Step 2: Convert to fraction form
    4,977/7,465.50 = 1,329/x
  3. Step 3: Cross multiply
    4,977x = 7,465.50 × 1,329
  4. Step 4: Simplify right side
    4,977x = 9,921,649.50
  5. Step 5: Solve for x
    x = 9,921,649.50/4,977
  6. Step 6: Final answer
    x = 1,993.50

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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.