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Finding the Fourth Proportional to 5,448.65, 8,172.98 and 3,258

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Solution

The fourth proportional to 5,448.65, 8,172.98 and 3,258 is: 4,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.65 : 8,172.98 = 3,258 : x
  2. Step 2: Convert to fraction form
    5,448.65/8,172.98 = 3,258/x
  3. Step 3: Cross multiply
    5,448.65x = 8,172.98 × 3,258
  4. Step 4: Simplify right side
    5,448.65x = 26,627,552.55
  5. Step 5: Solve for x
    x = 26,627,552.55/5,448.65
  6. Step 6: Final answer
    x = 4,887.00

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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.