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Finding the Fourth Proportional to 5,485.65, 7,569.84 and 3,095.99

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Solution

The fourth proportional to 5,485.65, 7,569.84 and 3,095.99 is: 4,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.65 : 7,569.84 = 3,095.99 : x
  2. Step 2: Convert to fraction form
    5,485.65/7,569.84 = 3,095.99/x
  3. Step 3: Cross multiply
    5,485.65x = 7,569.84 × 3,095.99
  4. Step 4: Simplify right side
    5,485.65x = 23,436,148.94
  5. Step 5: Solve for x
    x = 23,436,148.94/5,485.65
  6. Step 6: Final answer
    x = 4,272.27

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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.