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Finding the Fourth Proportional to 4,616.75, 6,924.87 and 1,329.71

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Solution

The fourth proportional to 4,616.75, 6,924.87 and 1,329.71 is: 1,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.75 : 6,924.87 = 1,329.71 : x
  2. Step 2: Convert to fraction form
    4,616.75/6,924.87 = 1,329.71/x
  3. Step 3: Cross multiply
    4,616.75x = 6,924.87 × 1,329.71
  4. Step 4: Simplify right side
    4,616.75x = 9,208,068.89
  5. Step 5: Solve for x
    x = 9,208,068.89/4,616.75
  6. Step 6: Final answer
    x = 1,994.49

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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.