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Finding the Fourth Proportional to 5,457.86, 7,525.89 and 3,686.39

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Solution

The fourth proportional to 5,457.86, 7,525.89 and 3,686.39 is: 5,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.86 : 7,525.89 = 3,686.39 : x
  2. Step 2: Convert to fraction form
    5,457.86/7,525.89 = 3,686.39/x
  3. Step 3: Cross multiply
    5,457.86x = 7,525.89 × 3,686.39
  4. Step 4: Simplify right side
    5,457.86x = 27,743,366.02
  5. Step 5: Solve for x
    x = 27,743,366.02/5,457.86
  6. Step 6: Final answer
    x = 5,083.19

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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.