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Finding the Fourth Proportional to 5,310.82, 7,329.32 and 2,953.32

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Solution

The fourth proportional to 5,310.82, 7,329.32 and 2,953.32 is: 4,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.82 : 7,329.32 = 2,953.32 : x
  2. Step 2: Convert to fraction form
    5,310.82/7,329.32 = 2,953.32/x
  3. Step 3: Cross multiply
    5,310.82x = 7,329.32 × 2,953.32
  4. Step 4: Simplify right side
    5,310.82x = 21,645,827.34
  5. Step 5: Solve for x
    x = 21,645,827.34/5,310.82
  6. Step 6: Final answer
    x = 4,075.80

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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.