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Finding the Fourth Proportional to 4,406.40, 5,767.20 and 4,406.40

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Solution

The fourth proportional to 4,406.40, 5,767.20 and 4,406.40 is: 5,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.40 : 5,767.20 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    4,406.40/5,767.20 = 4,406.40/x
  3. Step 3: Cross multiply
    4,406.40x = 5,767.20 × 4,406.40
  4. Step 4: Simplify right side
    4,406.40x = 25,412,590.08
  5. Step 5: Solve for x
    x = 25,412,590.08/4,406.40
  6. Step 6: Final answer
    x = 5,767.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.