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Finding the Fourth Proportional to 5,329.68, 7,354.80 and 2,971.77

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Solution

The fourth proportional to 5,329.68, 7,354.80 and 2,971.77 is: 4,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.68 : 7,354.80 = 2,971.77 : x
  2. Step 2: Convert to fraction form
    5,329.68/7,354.80 = 2,971.77/x
  3. Step 3: Cross multiply
    5,329.68x = 7,354.80 × 2,971.77
  4. Step 4: Simplify right side
    5,329.68x = 21,856,774.00
  5. Step 5: Solve for x
    x = 21,856,774.00/5,329.68
  6. Step 6: Final answer
    x = 4,100.95

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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.