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Finding the Fourth Proportional to 5,453.40, 8,180.10 and 1,349.40

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Solution

The fourth proportional to 5,453.40, 8,180.10 and 1,349.40 is: 2,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.40 : 8,180.10 = 1,349.40 : x
  2. Step 2: Convert to fraction form
    5,453.40/8,180.10 = 1,349.40/x
  3. Step 3: Cross multiply
    5,453.40x = 8,180.10 × 1,349.40
  4. Step 4: Simplify right side
    5,453.40x = 11,038,226.94
  5. Step 5: Solve for x
    x = 11,038,226.94/5,453.40
  6. Step 6: Final answer
    x = 2,024.10

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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.