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Finding the Fourth Proportional to 5,405.40, 8,108.10 and 5,405.40

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Solution

The fourth proportional to 5,405.40, 8,108.10 and 5,405.40 is: 8,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.40 : 8,108.10 = 5,405.40 : x
  2. Step 2: Convert to fraction form
    5,405.40/8,108.10 = 5,405.40/x
  3. Step 3: Cross multiply
    5,405.40x = 8,108.10 × 5,405.40
  4. Step 4: Simplify right side
    5,405.40x = 43,827,523.74
  5. Step 5: Solve for x
    x = 43,827,523.74/5,405.40
  6. Step 6: Final answer
    x = 8,108.10

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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.