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Finding the Fourth Proportional to 3,317.60, 4,976.04 and 1,009.10

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Solution

The fourth proportional to 3,317.60, 4,976.04 and 1,009.10 is: 1,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.60 : 4,976.04 = 1,009.10 : x
  2. Step 2: Convert to fraction form
    3,317.60/4,976.04 = 1,009.10/x
  3. Step 3: Cross multiply
    3,317.60x = 4,976.04 × 1,009.10
  4. Step 4: Simplify right side
    3,317.60x = 5,021,321.96
  5. Step 5: Solve for x
    x = 5,021,321.96/3,317.60
  6. Step 6: Final answer
    x = 1,513.54

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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.