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Finding the Fourth Proportional to 4,716.90, 6,509.34 and 2,949.54

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Solution

The fourth proportional to 4,716.90, 6,509.34 and 2,949.54 is: 4,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.90 : 6,509.34 = 2,949.54 : x
  2. Step 2: Convert to fraction form
    4,716.90/6,509.34 = 2,949.54/x
  3. Step 3: Cross multiply
    4,716.90x = 6,509.34 × 2,949.54
  4. Step 4: Simplify right side
    4,716.90x = 19,199,558.70
  5. Step 5: Solve for x
    x = 19,199,558.70/4,716.90
  6. Step 6: Final answer
    x = 4,070.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.