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Finding the Fourth Proportional to 5,294.64, 7,945.12 and 2,008.16

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Solution

The fourth proportional to 5,294.64, 7,945.12 and 2,008.16 is: 3,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.64 : 7,945.12 = 2,008.16 : x
  2. Step 2: Convert to fraction form
    5,294.64/7,945.12 = 2,008.16/x
  3. Step 3: Cross multiply
    5,294.64x = 7,945.12 × 2,008.16
  4. Step 4: Simplify right side
    5,294.64x = 15,955,072.18
  5. Step 5: Solve for x
    x = 15,955,072.18/5,294.64
  6. Step 6: Final answer
    x = 3,013.44

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1.5x scale

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.