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Finding the Fourth Proportional to 3,318.54, 4,978.35 and 1,009.50

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Solution

The fourth proportional to 3,318.54, 4,978.35 and 1,009.50 is: 1,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.54 : 4,978.35 = 1,009.50 : x
  2. Step 2: Convert to fraction form
    3,318.54/4,978.35 = 1,009.50/x
  3. Step 3: Cross multiply
    3,318.54x = 4,978.35 × 1,009.50
  4. Step 4: Simplify right side
    3,318.54x = 5,025,644.33
  5. Step 5: Solve for x
    x = 5,025,644.33/3,318.54
  6. Step 6: Final answer
    x = 1,514.41

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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.