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Finding the Fourth Proportional to 5,009, 7,516.18 and 3,253.60

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Solution

The fourth proportional to 5,009, 7,516.18 and 3,253.60 is: 4,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009 : 7,516.18 = 3,253.60 : x
  2. Step 2: Convert to fraction form
    5,009/7,516.18 = 3,253.60/x
  3. Step 3: Cross multiply
    5,009x = 7,516.18 × 3,253.60
  4. Step 4: Simplify right side
    5,009x = 24,454,643.25
  5. Step 5: Solve for x
    x = 24,454,643.25/5,009
  6. Step 6: Final answer
    x = 4,882.14

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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.