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Finding the Fourth Proportional to 5,409.54, 7,463.40 and 3,019.12

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Solution

The fourth proportional to 5,409.54, 7,463.40 and 3,019.12 is: 4,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.54 : 7,463.40 = 3,019.12 : x
  2. Step 2: Convert to fraction form
    5,409.54/7,463.40 = 3,019.12/x
  3. Step 3: Cross multiply
    5,409.54x = 7,463.40 × 3,019.12
  4. Step 4: Simplify right side
    5,409.54x = 22,532,900.21
  5. Step 5: Solve for x
    x = 22,532,900.21/5,409.54
  6. Step 6: Final answer
    x = 4,165.40

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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.