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Finding the Fourth Proportional to 5,328.46, 7,353.42 and 2,971.06

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Solution

The fourth proportional to 5,328.46, 7,353.42 and 2,971.06 is: 4,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.46 : 7,353.42 = 2,971.06 : x
  2. Step 2: Convert to fraction form
    5,328.46/7,353.42 = 2,971.06/x
  3. Step 3: Cross multiply
    5,328.46x = 7,353.42 × 2,971.06
  4. Step 4: Simplify right side
    5,328.46x = 21,847,452.03
  5. Step 5: Solve for x
    x = 21,847,452.03/5,328.46
  6. Step 6: Final answer
    x = 4,100.14

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1.5x scale

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.