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Finding the Fourth Proportional to 5,644.14, 7,786.32 and 3,655.36

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Solution

The fourth proportional to 5,644.14, 7,786.32 and 3,655.36 is: 5,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.14 : 7,786.32 = 3,655.36 : x
  2. Step 2: Convert to fraction form
    5,644.14/7,786.32 = 3,655.36/x
  3. Step 3: Cross multiply
    5,644.14x = 7,786.32 × 3,655.36
  4. Step 4: Simplify right side
    5,644.14x = 28,461,802.68
  5. Step 5: Solve for x
    x = 28,461,802.68/5,644.14
  6. Step 6: Final answer
    x = 5,042.72

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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.