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Finding the Fourth Proportional to 5,497.37, 7,585.74 and 3,107.06

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Solution

The fourth proportional to 5,497.37, 7,585.74 and 3,107.06 is: 4,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.37 : 7,585.74 = 3,107.06 : x
  2. Step 2: Convert to fraction form
    5,497.37/7,585.74 = 3,107.06/x
  3. Step 3: Cross multiply
    5,497.37x = 7,585.74 × 3,107.06
  4. Step 4: Simplify right side
    5,497.37x = 23,569,311.40
  5. Step 5: Solve for x
    x = 23,569,311.40/5,497.37
  6. Step 6: Final answer
    x = 4,287.38

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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.