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Finding the Fourth Proportional to 5,674.16, 7,828.25 and 3,435.21

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Solution

The fourth proportional to 5,674.16, 7,828.25 and 3,435.21 is: 4,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.16 : 7,828.25 = 3,435.21 : x
  2. Step 2: Convert to fraction form
    5,674.16/7,828.25 = 3,435.21/x
  3. Step 3: Cross multiply
    5,674.16x = 7,828.25 × 3,435.21
  4. Step 4: Simplify right side
    5,674.16x = 26,891,665.51
  5. Step 5: Solve for x
    x = 26,891,665.51/5,674.16
  6. Step 6: Final answer
    x = 4,739.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.