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Finding the Fourth Proportional to 4,135.40, 5,776.60 and 4,135.40

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Solution

The fourth proportional to 4,135.40, 5,776.60 and 4,135.40 is: 5,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.40 : 5,776.60 = 4,135.40 : x
  2. Step 2: Convert to fraction form
    4,135.40/5,776.60 = 4,135.40/x
  3. Step 3: Cross multiply
    4,135.40x = 5,776.60 × 4,135.40
  4. Step 4: Simplify right side
    4,135.40x = 23,888,551.64
  5. Step 5: Solve for x
    x = 23,888,551.64/4,135.40
  6. Step 6: Final answer
    x = 5,776.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.