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Finding the Fourth Proportional to 3,128.08, 4,316.54 and 2,009.08

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Solution

The fourth proportional to 3,128.08, 4,316.54 and 2,009.08 is: 2,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.08 : 4,316.54 = 2,009.08 : x
  2. Step 2: Convert to fraction form
    3,128.08/4,316.54 = 2,009.08/x
  3. Step 3: Cross multiply
    3,128.08x = 4,316.54 × 2,009.08
  4. Step 4: Simplify right side
    3,128.08x = 8,672,274.18
  5. Step 5: Solve for x
    x = 8,672,274.18/3,128.08
  6. Step 6: Final answer
    x = 2,772.40

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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.