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Finding the Fourth Proportional to 5,641.98, 7,786.67 and 3,405.12

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Solution

The fourth proportional to 5,641.98, 7,786.67 and 3,405.12 is: 4,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.98 : 7,786.67 = 3,405.12 : x
  2. Step 2: Convert to fraction form
    5,641.98/7,786.67 = 3,405.12/x
  3. Step 3: Cross multiply
    5,641.98x = 7,786.67 × 3,405.12
  4. Step 4: Simplify right side
    5,641.98x = 26,514,528.72
  5. Step 5: Solve for x
    x = 26,514,528.72/5,641.98
  6. Step 6: Final answer
    x = 4,699.51

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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.