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Finding the Fourth Proportional to 4,537.65, 6,808.64 and 3,565.65

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Solution

The fourth proportional to 4,537.65, 6,808.64 and 3,565.65 is: 5,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.65 : 6,808.64 = 3,565.65 : x
  2. Step 2: Convert to fraction form
    4,537.65/6,808.64 = 3,565.65/x
  3. Step 3: Cross multiply
    4,537.65x = 6,808.64 × 3,565.65
  4. Step 4: Simplify right side
    4,537.65x = 24,277,209.39
  5. Step 5: Solve for x
    x = 24,277,209.39/4,537.65
  6. Step 6: Final answer
    x = 5,350.17

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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.