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Finding the Fourth Proportional to 5,294.13, 7,934.35 and 2,521.65

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Solution

The fourth proportional to 5,294.13, 7,934.35 and 2,521.65 is: 3,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.13 : 7,934.35 = 2,521.65 : x
  2. Step 2: Convert to fraction form
    5,294.13/7,934.35 = 2,521.65/x
  3. Step 3: Cross multiply
    5,294.13x = 7,934.35 × 2,521.65
  4. Step 4: Simplify right side
    5,294.13x = 20,007,633.84
  5. Step 5: Solve for x
    x = 20,007,633.84/5,294.13
  6. Step 6: Final answer
    x = 3,779.21

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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.