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Finding the Fourth Proportional to 4,550.40, 6,830.16 and 2,703.36

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Solution

The fourth proportional to 4,550.40, 6,830.16 and 2,703.36 is: 4,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.40 : 6,830.16 = 2,703.36 : x
  2. Step 2: Convert to fraction form
    4,550.40/6,830.16 = 2,703.36/x
  3. Step 3: Cross multiply
    4,550.40x = 6,830.16 × 2,703.36
  4. Step 4: Simplify right side
    4,550.40x = 18,464,381.34
  5. Step 5: Solve for x
    x = 18,464,381.34/4,550.40
  6. Step 6: Final answer
    x = 4,057.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.