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Finding the Fourth Proportional to 5,007.34, 7,509.12 and 2,084.05

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Solution

The fourth proportional to 5,007.34, 7,509.12 and 2,084.05 is: 3,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.34 : 7,509.12 = 2,084.05 : x
  2. Step 2: Convert to fraction form
    5,007.34/7,509.12 = 2,084.05/x
  3. Step 3: Cross multiply
    5,007.34x = 7,509.12 × 2,084.05
  4. Step 4: Simplify right side
    5,007.34x = 15,649,381.54
  5. Step 5: Solve for x
    x = 15,649,381.54/5,007.34
  6. Step 6: Final answer
    x = 3,125.29

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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.